BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Fredholm conditions on non-compact manifolds through groupoids
DTSTART;VALUE=DATE-TIME:20170531T070000Z
DTEND;VALUE=DATE-TIME:20170531T074500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-51@indico.math.cnrs.fr
DESCRIPTION:Speakers: Catarina Carvalho ()\nIn many classes of non-compact
manifolds\, a (pseudo)differential operator is Fredholm if\, and only if\
, it is elliptic and a certain family of invariant operators is invertible
. \nIn this talk\, we discuss this type of Fredholm conditions in the fra
mework of Lie groupoids over manifolds with corners\, and provide a setti
ng where they can be explicitly identified. \nRepresentation theory of g
roupoid $C^*$-algebras plays a significant role\, namely recent work by Ro
ch and Nistor\, Prudhon on strictly spectral and exhaustive families.\nWe
discuss examples\, and consider\, in particular\, the commutative case\
, where we see that the classical Atiyah-Singer index formula applies. As
a consequence\, we obtain an index formula for even-dimensional Callias t
ype operators with unbounded potentials. \nThis is joint work with V. Nist
or and Y. Qiao.\n\nhttps://indico.math.cnrs.fr/event/1261/contributions/51
/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Integrable lifts for transitive Lie algebroids
DTSTART;VALUE=DATE-TIME:20170602T125000Z
DTEND;VALUE=DATE-TIME:20170602T131500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-52@indico.math.cnrs.fr
DESCRIPTION:Speakers: Paolo Antonini ()\nIn this seminar we report on work
in progress with I. Androulidakis and I. Marcut\n\nIn many constructions
in noncommutative geometry\, the passage from a singular space to a C* alg
ebra involves a Lie groupoid as an intermediate desingularization space.\n
\nThe infinitesimal datum of a Lie groupoid is a Lie algebroid and they ap
pear independently\, for instance in :\n-theory of foliations\n-Poisson ge
ometry\n-Gauge theory.\n\nHowever in general is not possible to integrate
a Lie algebroid to a Lie groupoid ( in contrast to the theory of Lie algeb
ras). \n\nFirstly we will be concerned with the discussion of Lie algebroi
ds: basic definitions\, examples\, the integration problem\, the obstructi
ons to the integrability of Crainic-Fernandes and the discussion of the fi
rst non integrable example given by Molino.\nThen we will explain our idea
of "removing" the obstructions of a transitive algebroid\, passing to a s
uitable integrable extension.\n\nIn these cases one can use this integrabl
e lift to perform some of the basic constructions of index theory and nonc
ommutative geometry.\n\nhttps://indico.math.cnrs.fr/event/1261/contributio
ns/52/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conical degeneration of geometric invariants
DTSTART;VALUE=DATE-TIME:20170601T094500Z
DTEND;VALUE=DATE-TIME:20170601T103000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-53@indico.math.cnrs.fr
DESCRIPTION:Speakers: Xianzhe Dai ()\nConical singularities occur quite of
ten and naturally. By conical degeneration we mean a family of smooth metr
ics limiting to a singular metric of conical type. Under rather general co
nditions\, the eigenvalues and eigenfunctions\, and heat kernels will conv
erge. It is rather different for the global geometric invariants such as e
ta invariant and analytic torsion. We will discuss some recent work in thi
s direction.\n\nhttps://indico.math.cnrs.fr/event/1261/contributions/53/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Chern conjecture for affine manifolds
DTSTART;VALUE=DATE-TIME:20170601T085500Z
DTEND;VALUE=DATE-TIME:20170601T094000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-54@indico.math.cnrs.fr
DESCRIPTION:Speakers: Weiping Zhang ()\nI would like to present the joint
work with Huitao Feng on the proof of the Chern conjecture which states th
at the Euler characteristic of a closed affine manifold equals to zero.\n\
nhttps://indico.math.cnrs.fr/event/1261/contributions/54/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The role of groupoids in the index problem for hypoelliptic operat
ors.
DTSTART;VALUE=DATE-TIME:20170531T095500Z
DTEND;VALUE=DATE-TIME:20170531T104000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-55@indico.math.cnrs.fr
DESCRIPTION:Speakers: Erik van Erp ()\nIn the 1980s\, Alain Connes gave a
conceptually appealing proof of the Atiyah-Singer index theorem using the
tangent groupoid. Over time\, the tangent groupoid was generalized to more
complicated analytic settings. I will discuss the role played by groupoid
s in the resolution of the index problem for hypoelliptic differential ope
rators on contact manifolds.\n\nhttps://indico.math.cnrs.fr/event/1261/con
tributions/55/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/55/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roe algebras\, coarse geometry\, and exactness.
DTSTART;VALUE=DATE-TIME:20170602T085500Z
DTEND;VALUE=DATE-TIME:20170602T094000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-56@indico.math.cnrs.fr
DESCRIPTION:Speakers: Rufus Willett ()\nRoe algebras are C*-algebras assoc
iated to possibly open manifolds\, or more general metric spaces\; they ar
e invariants of the large-scale geometry. Roe algebras are motivated by t
he fact that (nice enough\, e.g. Dirac type) differential operators on a R
iemannian manifold have higher indices in the K-theory of the Roe algebra\
; if the manifold happens to be closed\, the Roe algebra is just the compa
ct operators and one recovers the classical integer index this way. For
‘good' spaces\, the Roe algebra remembers essentially all the large-scal
e geometry of the space X\, while in ‘bad’ ones\, analytic difficultie
s arise leading to counterexamples to Baum-Connes type conjectures. I’l
l try to survey what makes a space ‘good’ versus ‘bad’ in this con
text\, and some of the consequences. \n\nParts of this talk will be based
on joint work with several people: Paul Baum\, Erik Guentner\, John Roe\,
Jan Spakula\, Stuart White\, and Guoliang Yu.\n\nhttps://indico.math.cnrs
.fr/event/1261/contributions/56/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/56/
END:VEVENT
BEGIN:VEVENT
SUMMARY:An index theorem for the Dirac operator on Lorentzian manifolds
DTSTART;VALUE=DATE-TIME:20170601T141500Z
DTEND;VALUE=DATE-TIME:20170601T150000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-57@indico.math.cnrs.fr
DESCRIPTION:Speakers: Christian Bar ()\nWe show that the Dirac operator on
a compact globally hyperbolic\nLorentzian spacetime with spacelike Cauchy
boundary is a Fredholm\noperator if appropriate boundary conditions are i
mposed. We prove that\nthe index of this operator is given by the same for
mal expression as\nin the index formula of Atiyah-Patodi-Singer for Rieman
nian manifolds\nwith boundary. If time permits\, an application to quantum
field\ntheory (the computation of the chiral anomaly) will be sketched.\n
\nThis is the first index theorem for Dirac operators on *Lorentzian*\nman
ifolds and\, from an analytic perspective\, the methods to obtain it\nare
quite different from the classical Riemannian case. This is joint\nwork wi
th Alexander Strohmaier.\n\nhttps://indico.math.cnrs.fr/event/1261/contrib
utions/57/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/57/
END:VEVENT
BEGIN:VEVENT
SUMMARY:K-HOMOLOGY AND INDEX THEORY ON CONTACT MANIFOLDS
DTSTART;VALUE=DATE-TIME:20170531T090500Z
DTEND;VALUE=DATE-TIME:20170531T095000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-58@indico.math.cnrs.fr
DESCRIPTION:Speakers: Paul Baum ()\nK-homology is the dual theory to K-the
ory. The BD (Baum-Douglas) isomorphism of Atiyah-Kasparov K-homology and K
-cycle K-homology provides a framework within which the Atiyah-Singer inde
x theorem can be extended to certain differential operators which are hypo
elliptic but not elliptic. This talk will consider such a class of differe
ntial operators on compact contact manifolds. These operators have been st
udied by a number of mathematicians. Operators with similar analytic prope
rties have also been studied (e.g. by Alain Connes and Henri Moscovici). W
orking within the BD framework\, the index problem will be solved for thes
e operators. The Connes-Thom isomorphism plays an essential role in the pr
oof. This is joint work with Erik van Erp.\n\nhttps://indico.math.cnrs.fr/
event/1261/contributions/58/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/58/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hilsum bordisms and unbounded KK-theory
DTSTART;VALUE=DATE-TIME:20170602T120000Z
DTEND;VALUE=DATE-TIME:20170602T124500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-59@indico.math.cnrs.fr
DESCRIPTION:Speakers: Robin Deeley ()\nInspired by naturally occurring geo
metric examples\, Baaj and Julg defined the notion of an unbounded cycle i
n KK-theory. Likewise\, based on operators associated to manifolds with bo
undary\, Hilsum defined the notion of a bordism in the context of unbounde
d KK-theory. I will discuss joint work with Magnus Goffeng and Bram Meslan
d in which\, we defined an abelian group that is essentially unbounded KK-
cycles modulo Hilsum's notion of bordism. This group maps to the standard
Kasparov group via the bounded transform and in the commutative case can b
e related to the geometric model for K-homology due to Baum and Douglas.\n
\nhttps://indico.math.cnrs.fr/event/1261/contributions/59/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/59/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bergman kernels on symplectic manifolds and applications.
DTSTART;VALUE=DATE-TIME:20170601T120000Z
DTEND;VALUE=DATE-TIME:20170601T124500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-60@indico.math.cnrs.fr
DESCRIPTION:Speakers: Xiaonan Ma ()\nA suitable notion of ``holomorphic se
ction'' of a prequantum line bundle on\na compact symplectic manifold is\n
the eigensections of low energy of the Bochner Laplacian\nacting on high
$p$-tensor powers of the prequantum line bundle.\nWe explain the asymptoti
c expansion of the corresponding kernel of the\northogonal projection as
the power p tends to infinity.\nThis implies the compact symplectic manifo
ld\n can be embedded in the corresponding projective\nspace. With extra e
ffort\, we show the Fubini-Study metrics induced by\nthese embeddings conv
erge at speed rate $1/p^{2}$\n to the symplectic form. We explain also \ni
ts implication on Bezerin-Toeplitz quantizations.\n\nhttps://indico.math.c
nrs.fr/event/1261/contributions/60/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/60/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Proper actions of Lie groups and higher APS index theory
DTSTART;VALUE=DATE-TIME:20170530T145500Z
DTEND;VALUE=DATE-TIME:20170530T154000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-61@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hessel Posthuma ()\nIn this talk I’ll report on jo
int work in progress with Paolo Piazza about higher APS index theory in th
e presence of a Lie group symmetry. \nI will first review the higher index
theorem for proper\, co-compact Lie group actions on closed manifolds. Af
ter that I will consider the generalization to \nthe APS-setting where the
manifold has a boundary and is equipped with a Dirac operator which is in
variant under the action of the group. The higher indices of this operator
are associated to smooth group cocycles and defined via the pairing of (r
elative) K-theory with (relative) cyclic cohomology. Comparing with the ca
se of closed manifolds\, I will explain how the APS setting differs from i
t and requires a much more involved analysis.\n\nhttps://indico.math.cnrs.
fr/event/1261/contributions/61/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/61/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Noncommutative products of Euclidean spaces
DTSTART;VALUE=DATE-TIME:20170602T065000Z
DTEND;VALUE=DATE-TIME:20170602T073500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-62@indico.math.cnrs.fr
DESCRIPTION:Speakers: Giovanni Landi ()\nWe present natural families of co
ordinate algebras of noncommutative products of Euclidean spaces. These co
ordinate algebras are quadratic ones associated with an R-matrix which is
involutive and satisfies the Yang-Baxter equations. As a consequence they
enjoy a list of nice properties\, being regular of finite global dimension
. Notably\, we have eight-dimensional noncommutative euclidean spaces whic
h are particularly well behaved and are parametrised by a two-dimensional
sphere. Quotients include noncommutative seven-spheres as well as noncomm
utative "quaternionic tori". There is invariance for an action of $SU(2) \
\times SU(2)$ in parallel with the action of $U(1) \\times U(1)$ on a "com
plex" noncommutative torus which allows one to construct quaternionic tori
c noncommutative manifolds. Additional classes of solutions are disjoint
from the classical case.\n\nhttps://indico.math.cnrs.fr/event/1261/contrib
utions/62/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/62/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A Baum-Connes conjecture for singular foliations
DTSTART;VALUE=DATE-TIME:20170602T074000Z
DTEND;VALUE=DATE-TIME:20170602T082500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-63@indico.math.cnrs.fr
DESCRIPTION:Speakers: Iakovos Androulidakis ()\nA large class of manifolds
M endowed with a Stefan-Sussmann singular\nfoliation\, admit a decomposit
ion which records the "height" of the\nsingularities involved. These are t
he manifolds whose singular foliation\nis defined from a Lie groupoid\, an
d the singularity height can be\nformulated using dimension. Using this de
composition we can formulate an\nassembly map for singular foliations as s
uch\, which is an isomorphism\nunder suitable amenability conditions. The
assembly map allows to\ncalculate the K-theory of the foliation C*-algebra
. This is joint work\nwith Georges Skandalis.\n\nhttps://indico.math.cnrs.
fr/event/1261/contributions/63/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/63/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Blowups\, deformations to the normal cone and groupoids
DTSTART;VALUE=DATE-TIME:20170529T072500Z
DTEND;VALUE=DATE-TIME:20170529T081000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-64@indico.math.cnrs.fr
DESCRIPTION:Speakers: Georges Skandalis ()\nWe give a systematic construct
ion of some deformation groupoids which recover many previous ones.\nOur c
onstruction gives rise to several extensions. We compute the correspondin
g K-theory maps. This is joint work with Claire Debord.\n\nhttps://indico.
math.cnrs.fr/event/1261/contributions/64/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/64/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The logarithmic index of vector fields and the theory of residue
DTSTART;VALUE=DATE-TIME:20170529T151500Z
DTEND;VALUE=DATE-TIME:20170529T160000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-65@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alexandre Aleksandrov ()\nWe introduce the notion of
logarithmic index of vector fields and differential forms (not necessaril
y regular) given on singular varieties. Then the corresponding theory will
be developed in various settings and some useful relations with classical
theories of index and residue will be discussed. Our approach is mainly b
ased on the theory of residues of meromorphic differential forms logarithm
ic along subvarieties with arbitrary singularities developed by the author
in the past few years. As illustrations\, we also discuss elementary meth
ods for computing the index on Cohen-Macaulay curves\, complete intersecti
ons\, normal and determinantal varieties\, and others.\n\nhttps://indico.m
ath.cnrs.fr/event/1261/contributions/65/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/65/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Spectral triples and non-commutative fractals
DTSTART;VALUE=DATE-TIME:20170602T094500Z
DTEND;VALUE=DATE-TIME:20170602T103000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-66@indico.math.cnrs.fr
DESCRIPTION:Speakers: Daniele Guido ()\nSelf-similar nested fractals are s
tudied from a functional point of view\, and this provides a way to quanti
ze them\, namely to produce a self-similar noncommutative C*-algebra cont
aining the continuous functions on the fractal as a sub-algebra. For the n
oncommutative C\\*-algebra associated with the Sierpinski gasket\, the rep
resentations are studied\, it is shown that a noncommutative Dirichlet for
m can be defined\, which restricts to the classical energy form on the gas
ket\, and a spectral triple is proposed. Such triple reconstructs in parti
cular the Dirichlet form via the formula $a\\to res_{s=\\delta}\\ tr(|D|^{
-s/2}|[D\,a]|^2 |D|^{-s/2})$\, for a suitable $\\delta$. Work in progress
with F.Cipriani\, T.Isola and J-L.Sauvageot.\n\nhttps://indico.math.cnrs.f
r/event/1261/contributions/66/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/66/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Noncommutative geometry\, conformal geometry\, and the cyclic homo
logy of crossed-product algebras.
DTSTART;VALUE=DATE-TIME:20170530T140500Z
DTEND;VALUE=DATE-TIME:20170530T145000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-67@indico.math.cnrs.fr
DESCRIPTION:Speakers: Raphael Ponge ()\nIn the first part of the talk\, I
will present some joint work with Hang Wang. We use noncommutative geometr
y to obtain a local index formula in conformal geometry that takes into ac
count the action of an arbitrary group of conformal diffeomorphisms. This
leads us to a construction of a whole new family of conformal invariants.
The computation of these invariants uses the explicit computation of the c
yclic homology of crossed-product algebras by means of explicit quasi-isom
orphisms that I constructed recently. This will be the topic of the 2nd pa
rt of the talk. The results are expressed in terms of suitable versions of
equivariant (co)homology. As a result this allows us to compute the confo
rmal invariants of the 1st part in terms of equivariant characteristic cla
sses.\n\nhttps://indico.math.cnrs.fr/event/1261/contributions/67/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/67/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dirac-type operators on stratified spaces
DTSTART;VALUE=DATE-TIME:20170601T074000Z
DTEND;VALUE=DATE-TIME:20170601T082500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-68@indico.math.cnrs.fr
DESCRIPTION:Speakers: Pierre Albin ()\nI will describe joint work with Jes
se Gell-Redman on the index theorem on stratified spaces.\n\nhttps://indic
o.math.cnrs.fr/event/1261/contributions/68/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/68/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quasi-asymptotically conical Calabi-Yau manifolds
DTSTART;VALUE=DATE-TIME:20170601T150500Z
DTEND;VALUE=DATE-TIME:20170601T155000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-69@indico.math.cnrs.fr
DESCRIPTION:Speakers: Frédéric Rochon ()\nWe will explain how to constru
ct new examples of quasi-asymptotically conical (QAC) Calabi-Yau manifolds
that are not quasi-asymptotically locally Euclidean (QALE). Our strategy
consists in introducing a natural compactification of QAC-spaces by manif
olds with fibred corners and to give a definition of QAC-metrics in terms
of a natural Lie algebra of vector fields on this compactification. Using
this and the Fredholm theory of Degeratu-Mazzeo for elliptic operators as
sociated to QAC-metrics\, we can in many instances obtain Kahler QAC-metri
cs having Ricci potential decaying sufficiently fast at infinity. We can
then obtain QAC Calabi-Yau metrics in the Kahler classes of these metrics
by solving a corresponding complex Monge-Ampere equation. This is a joint
work with Ronan Conlon and Anda Degeratu.\n\nhttps://indico.math.cnrs.fr/
event/1261/contributions/69/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/69/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fixed Point Theorem and Character Formula
DTSTART;VALUE=DATE-TIME:20170529T115000Z
DTEND;VALUE=DATE-TIME:20170529T123500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-70@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hang Wang ()\nThis talk is motivated by the bridge b
etween geometry and representation. Weyl character formula\, which describ
es characters of irreducible representations of a compact Lie group\, can
be obtained geometrically from the Atiyah-Segal-Singer or the Atiyah-Bott
fixed point theorem. We present a fixed point theorem associated to a prop
er action of a Lie group on a manifold. We obtain Harish-Chandra character
formula\, the noncompact analogue of the Weyl Character formula\, geometr
ically from the fixed point theorem. This is joint work with Peter Hochs.\
n\nhttps://indico.math.cnrs.fr/event/1261/contributions/70/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/70/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lefschetz trace formulas for flows on foliated manifolds
DTSTART;VALUE=DATE-TIME:20170530T120000Z
DTEND;VALUE=DATE-TIME:20170530T124500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-71@indico.math.cnrs.fr
DESCRIPTION:Speakers: Yuri Kordyukov ()\nIn this talk\, we will discuss Le
fschetz trace formulas for foliated flows on compact manifolds equipped wi
th a codimension one foliation. Our main motivation comes from Deninger's
approach to the study of arithmetic zeta-functions. First\, we will recall
such a formula\, due to Alvarez Lopez and the speaker\, in the case when
the flow has no fixed points and its orbits are everywhere tranverse to th
e leaves of the foliation. Then we will consider the case when the flow ma
y have fixed points and describe an approach to Lefschetz trace formulas b
ased on pseudodifferential b-calculus developed by Melrose. We will report
on the recent progress in this direction. This is joint work with Jesus A
lvarez Lopez and Eric Leichtnam.\n\nhttps://indico.math.cnrs.fr/event/1261
/contributions/71/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/71/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A Hilbert bundle description of differential K-theory
DTSTART;VALUE=DATE-TIME:20170529T084000Z
DTEND;VALUE=DATE-TIME:20170529T092500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-72@indico.math.cnrs.fr
DESCRIPTION:Speakers: John Lott ()\nWe give an infinite-dimensional descri
ption of the\ndifferential K-theory of a manifold. The construction uses\
nsuperconnections on Hilbert bundles and eta forms. We\ndescribe the pushf
orward of a finite-dimensional cycle under\na proper submersion with a Rie
mannian structure. Finally\,\nwe give a model for twisted differential K-
theory. This is\njoint work with Alexander Gorokhovsky\n\nhttps://indico.
math.cnrs.fr/event/1261/contributions/72/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/72/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elements "Gamma" finiment sommables pour les groupes hyperboliques
.
DTSTART;VALUE=DATE-TIME:20170530T125000Z
DTEND;VALUE=DATE-TIME:20170530T133500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-73@indico.math.cnrs.fr
DESCRIPTION:Speakers: Michael Puschnigg ()\nOn donne une construction unif
orme d'un module de Fredholm finiment sommable \nqui représente l’élé
ment "Gamma" dans $KK_G(C\,C)$ d'un groupe hyperbolique G. On obtient une
\nestimation explicite de son degré de sommabilité en termes de la cardi
nalité d'un ensemble fini symétrique de générateurs S de G et de la co
nstante de hyperbolicité $\\delta$ du graphe de Cayley de (G\,S). (Travai
l commun avec J.M.Cabrera).\n\nhttps://indico.math.cnrs.fr/event/1261/cont
ributions/73/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/73/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pairings for pseudodifferential symbols
DTSTART;VALUE=DATE-TIME:20170530T074000Z
DTEND;VALUE=DATE-TIME:20170530T082500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-74@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alexander Gorokhovsky ()\nWe compare different cons
tructions of cyclic cocycles for the algebra of complete symbols of pseud
odifferential operators. Our comparison result leads to index-theoretic c
onsequences and a construction of invariants of the algebraic $K$-theory o
f the algebra of pseudodifferential symbols. This is a joint work with H.
Moscovici.\n\nhttps://indico.math.cnrs.fr/event/1261/contributions/74/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/74/
END:VEVENT
BEGIN:VEVENT
SUMMARY:K-types of tempered representations
DTSTART;VALUE=DATE-TIME:20170529T093000Z
DTEND;VALUE=DATE-TIME:20170529T101500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-75@indico.math.cnrs.fr
DESCRIPTION:Speakers: Peter Hochs ()\nhttps://indico.math.cnrs.fr/event/12
61/contributions/75/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/75/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A groupoid approach to pseudodifferential operators
DTSTART;VALUE=DATE-TIME:20170531T075000Z
DTEND;VALUE=DATE-TIME:20170531T083500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-76@indico.math.cnrs.fr
DESCRIPTION:Speakers: Robert Yuncken ()\nThe tangent groupoid is a geometr
ic device for glueing a pseudodifferential operator to its principal symbo
l via a deformation family. We will discuss a converse to this: briefly\,
pseudodifferential kernels are precisely those distributions that extend
to distributions on the tangent groupoid that are essentially homogeneous
with respect to the natural R+-action. One could see this as a simple new
definition of a classical pseudodifferential operator. Moreover\, we wil
l show that\, armed with an appropriate generalization of the tangent grou
poid\, this approach allows us to easily construct more exotic pseudodiffe
rential calculi\, such as the Heisenberg calculus. (Joint work with Erik
van Erp.)\n\nhttps://indico.math.cnrs.fr/event/1261/contributions/76/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/76/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Witten's perturbation on strata with general adapted metrics
DTSTART;VALUE=DATE-TIME:20170529T142500Z
DTEND;VALUE=DATE-TIME:20170529T151000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-77@indico.math.cnrs.fr
DESCRIPTION:Speakers: Jesus Alvarez Lopez ()\nThe lecture is about a versi
on of the Morse inequalities that we have proved on strata. The proof uses
the minimum and maximum ideal boundary conditions of the Witten's perturb
ation of the de Rham complex\, with respect to what we call a relative Mor
se function and a general adapted metric. This can be considered as a resu
lt about intersection cohomology with arbitrary perversities. All details
of the proof were recently finished\, correcting some computations of a pr
evious version. This is a joint work with Manuel Calaza and Carlos Franco.
\n\nhttps://indico.math.cnrs.fr/event/1261/contributions/77/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/77/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Local linear forms on pseudodifferential operators and index theor
y
DTSTART;VALUE=DATE-TIME:20170530T065000Z
DTEND;VALUE=DATE-TIME:20170530T073500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-78@indico.math.cnrs.fr
DESCRIPTION:Speakers: Sylvie Paycha ()\nThis talk discusses **local** li
near forms $\\Lambda: A\\mapsto \\Lambda(A)$ on classical pseudo-diffe
rential operators on a closed manifold\, namely linear forms of the type
$\\Lambda(A)=\\int_M\\lambda_A(x)\\\, dx$ given by a density $\\lambda_A
(x)\\\, dx$ on the manifold $M$ and their relevance in index theory.\n\nLo
cal linear forms are spanned by the well-known Wodzicki residue $A\\longm
apsto {\\rm Res}(A)$ on integer order operators and the somewhat less
er known canonical trace $A\\longmapsto {\\rm TR} (A)$ on non-integer orde
r operators (joint work with S. Azzali).\n\nFor a **holomorphic perturbat
ion** $A(z)$ of a differential operator $A(0)=A$\, these two linear for
ms relate by (joint work with S. Scott) \n\\[\n(1)\\\,\\\,\\\,\\\,\\\,
\\\,\\\,lim_{z\\to 0}TR(A(z))= -\\frac{1}{2}\\\, Res(A^\\prime(0))\,\n\\]
\n where the residue has been extended to logarithms. Inspired by Gilkey'
s approach using invariance theory\, for a family $A(z)$ of geometric o
perators\, we showed (joint work with J. Mickelsson) that the density
$ {\\rm res}_x(A^\\prime (0))$ arising in the r.h.s. of (1) is an inva
riant polynomial which can be expressed in terms of Pontryagin forms on th
e tangent bundle and Chern forms on the auxillary bundle.\n\nA $\\mathbb{Z
}_2$-graded generalisation of (1) applied to an appropriate holomorphic p
erturbation of the identity built from a Dirac operator $D=D_+\\oplus D_
-$ acting on a $\\mathbb{Z}_2$-graded vector bundle\, expresses the **
index** of $D_+$ in terms of a Wodzicki residue. As a result of their loc
ality\, the canonical trace and the Wodzicki residue are preserved under
lifting to the universal covering of a closed manifold\; consequently fo
rmula (1) lifts to coverings. This lifted analoque of (1) yields an exp
ression of the $L^2$-index of a lifted Dirac operator in terms of the Wod
zicki residue of the logarithm of its square (joint work with S. Azzali).
\n\nhttps://indico.math.cnrs.fr/event/1261/contributions/78/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/78/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The analytic index of longitudinal elliptic operators on an open
foliated manifold
DTSTART;VALUE=DATE-TIME:20170529T131000Z
DTEND;VALUE=DATE-TIME:20170529T135500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-79@indico.math.cnrs.fr
DESCRIPTION:Speakers: Xiang Tang ()\nIn this talk\, we will introduce the
concept of Roe C\\*-algebra for a locally compact groupoid whose unit spac
e is in general not compact\, and that is equipped with an appropriate coa
rse structure and Haar system. Using Connes' tangent groupoid method\, we
will define an analytic index for an elliptic differential operator on a
Lie groupoid equipped with additional metric structure\, which takes value
s in the K-theory of the Roe C\\*-algebra. And we will discuss application
s of our developments to longitudinal elliptic operators on an open foliat
ed manifold. This is joint work with Rufus Willett and Yi-Jun Yao.\n\nhttp
s://indico.math.cnrs.fr/event/1261/contributions/79/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/79/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elliptic Operators Associated with Groups of Quantized Canonical T
ransformations
DTSTART;VALUE=DATE-TIME:20170530T085500Z
DTEND;VALUE=DATE-TIME:20170530T094000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-80@indico.math.cnrs.fr
DESCRIPTION:Speakers: Elmar Schrohe ()\nGiven a Lie group $G$ of quantized
canonical transformations acting on the space\n$L^2(M)$ over a closed man
ifold $M$\, we define an algebra of so-called $G$-operators on $L^2(M)$. W
e show that to $G$-operators we can associate symbols in appropriate cross
ed products with $G$\, introduce a notion of ellipticity and prove the Fre
dholm property for elliptic elements.\nThis framework encompasses many kno
wn elliptic theories\, for instance\, shift operators associated with grou
p actions on $M$\, transversal elliptic theory\, transversally elliptic ps
eudodifferential operators on foliations\, and Fourier integral operators
associated with coisotropic submanifolds.\n\nhttps://indico.math.cnrs.fr/
event/1261/contributions/80/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/80/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stratified surgery and the signature operator.
DTSTART;VALUE=DATE-TIME:20170601T065000Z
DTEND;VALUE=DATE-TIME:20170601T073500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-81@indico.math.cnrs.fr
DESCRIPTION:Speakers: Paolo Piazza ()\nIn this talk I will explain how a m
icrolocal approach to elliptic theory on (the regular part of) a Witt or\,
more generally\, a Cheeger space allows to extend the mapping-surgery-to-
analysis philosophy to these classes of stratified spaces. \nIn particular
\, I will report on some recent work with Pierre Albin where\, building o
n the analytic theory developed by Albin\, Leichtnam\, Mazzeo and myself\
, we map the Browder-Quinn surgery sequence for Witt or Cheeger stratifi
ed spaces to suitable K-theory sequences.\n\nhttps://indico.math.cnrs.fr/
event/1261/contributions/81/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/81/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the work of Boris Sternin in elliptic theory
DTSTART;VALUE=DATE-TIME:20170530T094500Z
DTEND;VALUE=DATE-TIME:20170530T103000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-82@indico.math.cnrs.fr
DESCRIPTION:Speakers: Anton Savin ()\nIn this talk\, I intend to give a su
rvey of the main results obtained by the late Professor Boris Sternin (193
9--2017)\nand his collaborators in the theory of elliptic operators. His r
esearch embraced a variety of topics such as Sobolev problems (relative el
liptic theory)\, elliptic theory on manifolds with singularities (includin
g surgery techniques to calculate indices and K-homology techniques to obt
ain homotopy classification of elliptic operators)\, and noncommutative el
liptic theory for operators associated with group actions (including the
uniformization method\, which allows one to compute the indices of ellipti
c operators).\n\nhttps://indico.math.cnrs.fr/event/1261/contributions/82/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/82/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the Laplace-Beltrami operator on compact complex spaces
DTSTART;VALUE=DATE-TIME:20170601T125000Z
DTEND;VALUE=DATE-TIME:20170601T131500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-83@indico.math.cnrs.fr
DESCRIPTION:Speakers: Francesco Bei ()\nDuring the last decades analysis o
n complex projective varieties endowed with the Fubini-Study metric and mo
re generally on Hermitian complex spaces has been an active research field
. In this talk we will present some recent results about the Laplacian in
the setting of compact Hermitian complex spaces. More precisely let (X\, h
) be a compact and irreducible Hermitian complex space of complex dimensio
n v > 1. We will show that the Friedrich extension of both the Laplace-Bel
trami operator and the Hodge-Kodaira Laplacian acting on functions has dis
crete spectrum. Moreover for the Friedrich extension of the Laplace-Beltra
mi operator we will also provide an estimate for the growth of its eigenva
lues. Finally we will give some applications to the Hodge-Dolbeault operat
or in the setting of Hermitian complex spaces of complex dimension 2.\n\nh
ttps://indico.math.cnrs.fr/event/1261/contributions/83/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/83/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Secondary invariants for two-cocycle twists
DTSTART;VALUE=DATE-TIME:20170601T155500Z
DTEND;VALUE=DATE-TIME:20170601T162000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-84@indico.math.cnrs.fr
DESCRIPTION:Speakers: Sara Azzali ()\nWe consider Dirac operators\, on the
universal covering of a closed manifold\, that are invariant under the pr
ojective action associated to a two-cocycle of the fundamental group. \nTh
ese operators give interesting invariants analogous to those studied in $L
^2$-index theory for covering spaces\, or more generally higher index theo
ry. The key property of this setting is that the twist by a two-cocycle na
turally yelds a $C^*$-algebraic bundle of arbitrary small curvature.\nWe w
ill describe the construction of eta and rho invariants\, prove an Atiyah
–Patodi–Singer index theorem in this setting\, and discuss some of the
ir geometric properties. This is based on joint work with Charlotte Wahl.\
n\nhttps://indico.math.cnrs.fr/event/1261/contributions/84/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/84/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The asymptotics of the holomorphic torsion forms
DTSTART;VALUE=DATE-TIME:20170530T154500Z
DTEND;VALUE=DATE-TIME:20170530T161000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-85@indico.math.cnrs.fr
DESCRIPTION:Speakers: Martin Puchol ()\nThe holomorphic torsion is a spect
ral invariant defined by Ray and Singer. Bismut and Vasserot have computed
its asymptotic behavior when it is associated with growing tensor power o
f a positive line bundle. Then they extended their result when these power
s are replaced by symmetric powers of a positive bundle of arbitrary rank.
These formulas have played a role in Arakelov geometry.\n\nThe holomorphi
c torsion has a generalization in the family setting: the holomorphic tors
ion forms. In this talk\, we will extend Bismut-Vasserot's work and presen
t an asymptotic formula for the torsion forms associated with the direct i
mage of $L^{\\otimes p}$\, where $L$ is a line bundle satisfying a positiv
ity assumption along the fibers. A key step for this is to use of the Toep
litz operators.\n\nhttps://indico.math.cnrs.fr/event/1261/contributions/85
/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/85/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lie groupoids\, complete metrics and secondary invariants on strat
ified manifolds
DTSTART;VALUE=DATE-TIME:20170530T161000Z
DTEND;VALUE=DATE-TIME:20170530T163500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-86@indico.math.cnrs.fr
DESCRIPTION:Speakers: Vito Felice Zenobi ()\nhttps://indico.math.cnrs.fr/e
vent/1261/contributions/86/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/86/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Heat kernel methods and algebraic index theorem
DTSTART;VALUE=DATE-TIME:20170529T124000Z
DTEND;VALUE=DATE-TIME:20170529T130500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-87@indico.math.cnrs.fr
DESCRIPTION:Speakers: Rudy Rodsphon ()\nOne way to describe succinctly loc
al index theory on closed spin manifolds could be the following slogan of
Quillen : Dirac operators are a "quantization" of connections\, and index
theory is a "quantization" of the Chern character. As is well-known\, this
leads to proofs of the index theorem using heat kernel methods. For non n
ecessarily spin manifolds\, pseudodifferential operators and their symboli
c calculus play a crucial role in the original proofs of the index theorem
. However\, symbols may also be viewed as a deformation quantization of fu
nctions on the cotangent bundle\, which has led to other fruitful approach
es to index theory through a "quantization" process. Methods used in these
two different quantization pictures do not seem to be quite related a pri
ori. Based on ideas of Perrot\, the upshot of the talk will be that it is
possible to implement an algebraic version of the heat kernel method in th
e deformation quantization picture\, which has many avantages over the ori
ginal one. In particular\, we recover Nest-Tsygan's algebraic index theore
m for a certain class of symplectic manifolds in a very natural way.\n\nht
tps://indico.math.cnrs.fr/event/1261/contributions/87/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/87/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the Parthasarathy formula for quantized irreducible flag manifo
lds
DTSTART;VALUE=DATE-TIME:20170602T132000Z
DTEND;VALUE=DATE-TIME:20170602T134500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-88@indico.math.cnrs.fr
DESCRIPTION:Speakers: Marco Matassa ()\nThe Parthasarathy formula expresse
s the square of the Dirac operator on a symmetric space in terms of centra
l elements of the corresponding enveloping algebra. We investigate whether
a result of this type also holds for quantized irreducible flag manifolds
\, using the Dolbeault-Dirac operators introduced by Krähmer and Tucker-S
immons. We show that a Parthasarathy-type formula requires certain quadrat
ic commutation relations in the quantum Clifford algebra defined by the na
med authors. For quantum projective spaces these relations hold\, and we o
btain a result which is as close as possible to the classical case. On the
other hand this is not the case for all other irreducible flag manifolds.
\n\nhttps://indico.math.cnrs.fr/event/1261/contributions/88/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/88/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mapping rough assembly to homology
DTSTART;VALUE=DATE-TIME:20170601T132000Z
DTEND;VALUE=DATE-TIME:20170601T134500Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-89@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alexander Engel ()\nWe will discuss a transformation
of the rough assembly map to a map on large scale homology groups. We wil
l then focus on a specific aspect in this transformation\, namely the comp
utation of the homology of (a smooth subalgebra of) the uniform Roe algebr
a.\n\nhttps://indico.math.cnrs.fr/event/1261/contributions/89/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/89/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Calculating the Fredholm index on Lie manifolds
DTSTART;VALUE=DATE-TIME:20170529T160500Z
DTEND;VALUE=DATE-TIME:20170529T163000Z
DTSTAMP;VALUE=DATE-TIME:20200410T004536Z
UID:indico-contribution-1261-90@indico.math.cnrs.fr
DESCRIPTION:Speakers: Karsten Bohlen ()\nWe review Fredholm conditions for
operators contained in the pseudodifferential calculus for\nmanifolds wit
h a Lie structure at infinity. Then we study the problem of obtaining Atiy
ah-Singer type index formulas\nfor Fredholm operators contained in the cal
culus. Time permitting we discuss some of the applications of the results.
\n\nhttps://indico.math.cnrs.fr/event/1261/contributions/90/
LOCATION:TOULOUSE Amphi Schwartz IMT building 1R3
URL:https://indico.math.cnrs.fr/event/1261/contributions/90/
END:VEVENT
END:VCALENDAR