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VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Floyd's manifold is a conjugation space
DTSTART;VALUE=DATE-TIME:20211028T133000Z
DTEND;VALUE=DATE-TIME:20211028T141000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5818@indico.math.cnrs.fr
DESCRIPTION:Speakers: Jérôme Scherer\n\nhttps://indico.math.cnrs.fr/even
t/5722/contributions/5818/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5818/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mapping class group representations via Heisenberg homology
DTSTART;VALUE=DATE-TIME:20211026T124500Z
DTEND;VALUE=DATE-TIME:20211026T132500Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5816@indico.math.cnrs.fr
DESCRIPTION:Speakers: Martin Palmer-Anghel\n\nhttps://indico.math.cnrs.fr/
event/5722/contributions/5816/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5816/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(Non-)formality of the Swiss-Cheese operads and variants
DTSTART;VALUE=DATE-TIME:20211027T070000Z
DTEND;VALUE=DATE-TIME:20211027T075000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5674@indico.math.cnrs.fr
DESCRIPTION:Speakers: Najib Idrissi (Université Paris Diderot / IMJ-PRG)\
n\nThe usual Swiss-Cheese operad encodes triplets (A\,B\,f)\, where A is a
n algebra over the little disks operad in dimension n (i.e.\, an \\mathsf{
E}_n-algebra)\, B is an \\mathsf{E}_{n-1}-algebra\, and f : A \\to Z(B) is
a central morphism of E_n-algebras.\n\nThe Swiss-Cheese operad admits sev
eral variants and generalizations. In Voronov's original version\, the mor
phism is replaced by an action A \\otimes B \\to B\; in the extended Swiss
-Cheese operad ESC_{mn}\, the lower algebra is an \\mathsf{E}_m-algebra fo
r some m < n\; and in the complementarily-constrained disks operad \\maths
f{CD}_{mn}\, the morphism is replaced by a derivation f + \\epsilon \\delt
a : A \\to B[\\epsilon].\n\nIn this talk\, I will explain approaches to pr
ove the (non-)formality of some of the variants of the Swiss-Cheese operad
\, including a joint work in progress with Renato Vasconcellos Vieira.\n\n
https://indico.math.cnrs.fr/event/5722/contributions/5674/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5674/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Topological adventures in neuroscience (1ère partie)
DTSTART;VALUE=DATE-TIME:20211026T083000Z
DTEND;VALUE=DATE-TIME:20211026T100000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5670@indico.math.cnrs.fr
DESCRIPTION:Speakers: Kathryn Hess Bellwald (EPFL)\n\nOver the past decade
\, research at the interface of topology and neuroscience has grown remark
ably fast. Topology has\, for example\, been successfully applied to ob
jective classification of neuron morphologies\, to automatic detection of
network dynamics\, to understanding the neural representation of natural a
uditory signals\, and to demonstrating that the population activity of gri
d cells exhibits toroidal structure\, as well as to describing brain struc
ture and function and analyzing the relationship between them in a novel a
nd effective manner. In this series of lectures\, I’ll provide an overv
iew of various promising recent applications of topology in neuroscience.\
n\nhttps://indico.math.cnrs.fr/event/5722/contributions/5670/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5670/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Topological adventures in neuroscience (2ème partie)
DTSTART;VALUE=DATE-TIME:20211027T083000Z
DTEND;VALUE=DATE-TIME:20211027T100000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5675@indico.math.cnrs.fr
DESCRIPTION:Speakers: Kathryn Hess Bellwald (EPFL)\n\nOver the past decade
\, research at the interface of topology and neuroscience has grown remark
ably fast. Topology has\, for example\, been successfully applied to ob
jective classification of neuron morphologies\, to automatic detection of
network dynamics\, to understanding the neural representation of natural a
uditory signals\, and to demonstrating that the population activity of gri
d cells exhibits toroidal structure\, as well as to describing brain struc
ture and function and analyzing the relationship between them in a novel a
nd effective manner. In this series of lectures\, I’ll provide an overv
iew of various promising recent applications of topology in neuroscience.\
n\nhttps://indico.math.cnrs.fr/event/5722/contributions/5675/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5675/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Algebraic models for classifying spaces of fibrations
DTSTART;VALUE=DATE-TIME:20211027T120000Z
DTEND;VALUE=DATE-TIME:20211027T125000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5676@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alexander Berglund\n\nFor a simply connected finite
CW-complex X\, we construct a tractable model for the rational homotopy ty
pe of the classifying space Baut(X) of the topological monoid of self-homo
topy equivalences of X\, aka the classifying space for fibrations with fib
er X.\n\nThe space Baut(X) is in general far from nilpotent\, so one shoul
d not expect to be able to model its rational homotopy type by a dg Lie al
gebra over Q as in Quillen's theory. Instead\, we work with dg Lie algebra
s in the category of algebraic representations of a certain reductive alge
braic group associated to X.\n\nA consequence of our results is that the c
omputation of the rational cohomology of Baut(X) reduces to the computatio
n of Chevalley-Eilenberg cohomology of dg Lie algebras and cohomology of a
rithmetic groups with coefficients in algebraic representations. Our resul
ts also simplify and generalize certain earlier results of Ib Madsen and m
yself on Baut(M)\nfor highly connected manifolds M.\n\nThis is joint work
with Tomas Zeman.\n\nhttps://indico.math.cnrs.fr/event/5722/contributions/
5676/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5676/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Higher Lie theory
DTSTART;VALUE=DATE-TIME:20211027T133000Z
DTEND;VALUE=DATE-TIME:20211027T142000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5677@indico.math.cnrs.fr
DESCRIPTION:Speakers: Bruno Vallette\n\nThis talk will cover the recent co
mplete treatment of the long-term research programme between Lie theory\,
deformation theory\, and rational homotopy theory that originates in the w
orks of Quillen\, Deligne\, and Sullivan. I will settle the integration th
eory of homotopy Lie algebras with algebraic infini-groupoids that give ri
se to explicit higher Baker—Campbell—Hausdorff formulas. A direct appl
ication will provide us with a new form of rational homotopy theory which
holds in a much more general context than the previous ones. (Joint work w
ith Daniel Robert-Nicoud availble at ArXiv:2010.10485.)\n\nhttps://indico.
math.cnrs.fr/event/5722/contributions/5677/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5677/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A-infinity structures on almost complex manifolds
DTSTART;VALUE=DATE-TIME:20211028T070000Z
DTEND;VALUE=DATE-TIME:20211028T075000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5679@indico.math.cnrs.fr
DESCRIPTION:Speakers: Joana Cirici\n\nDolbeault cohomology is a fundamenta
l cohomological invariant for complex manifolds. This analytic invariant i
s connected to de Rham cohomology by means of a spectral sequence\, called
the Frölicher spectral sequence. In this talk\, I will explore this conn
ection from a multiplicative viewpoint: using homotopy-theoretical methods
\, I will describe how products (and higher products) behave in the Fröli
cher spectral sequence. Then\, I will review an extension of the theory to
the case of almost complex manifolds and talk about some open problems in
geometry that may be addressed using homotopy theory.\n\nhttps://indico.m
ath.cnrs.fr/event/5722/contributions/5679/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5679/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the centre of crossed modules of groups and Lie algebras
DTSTART;VALUE=DATE-TIME:20211029T083000Z
DTEND;VALUE=DATE-TIME:20211029T091000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5687@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mariam Pirashvili\n\nCrossed modules are algebraic m
odels of homotopy 2-types and hence have \\pi_1 and \\pi_2 . We propose a
deﬁnition of the centre of a crossed module whose essential invariants c
an be computed via the group cohomology H^i (\\pi_1\, \\pi_2). This deﬁn
ition therefore has much nicer properties than one proposed by Norrie in t
he 80’s.\n\nhttps://indico.math.cnrs.fr/event/5722/contributions/5687/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5687/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Integrability of derived complex spaces
DTSTART;VALUE=DATE-TIME:20211028T120000Z
DTEND;VALUE=DATE-TIME:20211028T125000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5682@indico.math.cnrs.fr
DESCRIPTION:Speakers: Sinan Yalin\n\nSince the Newlander-Nirenberg integra
bility theorem in 1957\, the description of complex manifolds through inte
grable almost complex structures provided many far reaching applications r
anging from deformation theory to Hodge theory for example.With the rise o
f derived geometry during the last decade\, and more recently of derived a
nalytic geometry\, comes naturally the following question: is there a full
y homotopy coherent analogue of this integrability notion suitable for der
ived complex objects? We will explore this question through an approach in
spired by operad theory. This is joint work in progress with Joan Millès.
\n\nhttps://indico.math.cnrs.fr/event/5722/contributions/5682/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5682/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Homotopically inflexible algebras
DTSTART;VALUE=DATE-TIME:20211029T070000Z
DTEND;VALUE=DATE-TIME:20211029T075000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5685@indico.math.cnrs.fr
DESCRIPTION:Speakers: Cristina Costoya\n\nAn oriented closed connected d-m
anifold is inﬂexible if it does not admit selfmaps of unbounded degree.
In addition\, if for every oriented closed connected d-manifold M ′ the
set of degrees of maps M′ → M is ﬁnite\, then M is said to be strong
ly inﬂexible. The ﬁrst examples of simply connected inﬂexible manifo
lds have been constructed by Arkowitz and Lupton using Rational Homotopy T
heory. However\, it is not known whether simply connected strongly manifol
ds exist\, problem that is related to Gromov’s question on functorial se
mi-norms on homology. In this talk\, using Sullivan models\, we present a
method that proves the failure of strongly inﬂexibility for all but one
of the existing inﬂexible manifolds. This is a joint work with Vicente M
u˜noz and Antonio Viruel.\n\nhttps://indico.math.cnrs.fr/event/5722/contr
ibutions/5685/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5685/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Genus zero modular operad & Grothendieck-Teichmüller group’s av
atar
DTSTART;VALUE=DATE-TIME:20211026T120000Z
DTEND;VALUE=DATE-TIME:20211026T124000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5815@indico.math.cnrs.fr
DESCRIPTION:Speakers: Noémie Combe\n\nhttps://indico.math.cnrs.fr/event/5
722/contributions/5815/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5815/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Autour de l'action de membranes
DTSTART;VALUE=DATE-TIME:20211026T140000Z
DTEND;VALUE=DATE-TIME:20211026T144000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5683@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hugo Pourcelot\n\nÉtant donnée une ∞-opérade co
hérente O\, on peut munir l’espace des extensions de l’identité d’
une structure canonique de O-algèbre\, à valeurs dans la catégorie des
cocorrespondances. Cette action a été introduite par Toën puis adaptée
par Mann–Robalo en vue d’applications aux invariants de Gromov–Witt
en. J’exposerai une généralisation de cette construction\, couvrant le
cas des ∞-opérades colorées ou munies de l’action d’un groupe top
ologique. Enﬁn\, je mentionnerai quelques applications possibles en topo
logie des cordes.\n\nhttps://indico.math.cnrs.fr/event/5722/contributions/
5683/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5683/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Higher algebra of A-infinity algebras and the n-multiplihedra
DTSTART;VALUE=DATE-TIME:20211028T083000Z
DTEND;VALUE=DATE-TIME:20211028T091000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5680@indico.math.cnrs.fr
DESCRIPTION:Speakers: Thibaut Mazuir\n\nIn this talk\, I will introduce th
e notion of n-morphisms between two A-infinity algebras. These higher morp
hisms are such that 0-morphisms corresponds to A-infinity morphisms and 1-
morphisms correspond to A-infinity homotopies. I will then prove that the
set of higher morphisms between two A-infinity algebras provide a satisfac
tory framework to study the higher algebra of A-infinity algebras : this s
et defines in fact a simplicial set\, which has the property of being a Ka
n complex whose homotopy groups can be explicitly computed.\n\nIf time per
mits\, I will finally show how the combinatorics of n-morphisms between A-
infinity algebras are encoded by new families of polytopes\, which I call
the n-multiplihedra and which generalize the standard multiplihedra. They
are constructed from the standard simplices and multiplihedra\, by lifting
the Alexander-Whitney map to the level of simplices. The combinatorics ar
ising in this context are moreover conveniently described in terms of over
lapping partitions.\n\nhttps://indico.math.cnrs.fr/event/5722/contribution
s/5680/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5680/
END:VEVENT
BEGIN:VEVENT
SUMMARY:La diagonale des opéraèdres / The diagonal of the operahedra
DTSTART;VALUE=DATE-TIME:20211028T092000Z
DTEND;VALUE=DATE-TIME:20211028T100000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5681@indico.math.cnrs.fr
DESCRIPTION:Speakers: Guillaume Laplante-Anfossi\n\nNous présentons une n
ouvelle famille de réalisations des opéraèdres\, une famille de polytop
es qui codent les opérades à homotopie près comprenant l'associaèdre e
t le permutoèdre. En se servant des techniques récemment développées p
ar N. Masuda\, A. Tonks\, H. Thomas et B. Vallette\, nous définissons une
approximation cellulaire de la diagonale pour cette famille de polytopes
de même que le produit tensoriel d'opérades à homotopie près pour lequ
el nous donnons une formule explicite.\n\nWe study a new family of realiza
tions of the operahedra\, a family of polytopes encoding operads up to hom
otopy\, which include the associahedra and the permutohedra. Using techniq
ues recently developed by N. Masuda\, A. Tonks\, H. Thomas and B. Vallette
\, we define a cellular approximation of the diagonal of this family of po
lytopes and define the tensor product of operads up to homotopy with an ex
plicit formula.\n\nhttps://indico.math.cnrs.fr/event/5722/contributions/56
81/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5681/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A simplicial approach to the sheaf theoretic construction of inter
section cohomology
DTSTART;VALUE=DATE-TIME:20211026T144500Z
DTEND;VALUE=DATE-TIME:20211026T152500Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5686@indico.math.cnrs.fr
DESCRIPTION:Speakers: Sebastian Cea\n\nIntersection (co)homology is a way
to enhance classical (co)homology\, allowing us to use a famous result cal
led Poincaré duality on a large class of spaces known as stratiﬁed pseu
domanifolds. There is a theoretically powerful way to arrive at intersecti
on (co)homology by a classifying sheaves that satisfy what are called the
Deligne axioms.\n\nParallel to this\, it is common knowledge in algebraic
topology that simplicial structures make for good representations of topol
ogical spaces. There is a successful way to construct a simplicial interse
ction (co)homology exposed in the works of D. Chataur\, D. Tanré and M. S
aralegi-Araguren\, but a simplicial manifestation of the Deligne axioms ha
s remained under shadows until now.\n\nThis exposition draws on constructi
ons made by these authors\, showing a simplicial manifestation of the Deli
gne axioms. We begin by exposing the classical theory\, then presenting a
construction of simplicial sheaves and a statement of simplicial Deligne a
xioms that work for the diﬀerent simplicial structures\, to ﬁnally foc
us on simplicial complexes\, with which we can successfully arrive into a
way to construct simplicial intersection (co)homology.\n\nThis exposition
summarizes the results obtained during my PhD thesis under the guidance of
professor David Chataur.\n\nhttps://indico.math.cnrs.fr/event/5722/contri
butions/5686/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5686/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Integration of curved homotopy Lie algebras
DTSTART;VALUE=DATE-TIME:20211027T142000Z
DTEND;VALUE=DATE-TIME:20211027T150000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5678@indico.math.cnrs.fr
DESCRIPTION:Speakers: Victor Roca Lucio\n\nThe integration procedure which
associates an inﬁnity-groupoid to a (complete) homotopy Lie algebra dat
es back to Hinich and Getzler. Recently\, a new method was developed by Ro
bert-Nicoud and Vallette: it relies on the representation of the Getzler f
unctor with a universal object and the use of the recent progresses of the
operadic calculus. The goal of this talk is to generalize their procedure
to curved homotopy Lie algebras\, which are this time to be encoded by cu
rved cooperads. This is a new type of algebraic structures which come natu
rally equipped with inﬁnite summations without an underlying topology. W
e will explain how to integrate this new type of objects\, generalizing th
e above cases\, and their relationship with rational homotopy theory and d
eformation theory. In particular\, they provide us with rational models fo
r non-pointed nilpotent spaces.\n\nhttps://indico.math.cnrs.fr/event/5722/
contributions/5678/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5678/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Model structures and spectral sequences
DTSTART;VALUE=DATE-TIME:20211029T091000Z
DTEND;VALUE=DATE-TIME:20211029T100000Z
DTSTAMP;VALUE=DATE-TIME:20230326T224000Z
UID:indico-contribution-5872@indico.math.cnrs.fr
DESCRIPTION:Speakers: Sarah Whitehouse (University of Sheffield)\n\nModel
categories give an abstract setting for homotopy theory\, allowing study o
f different notions of equivalence. I'll discuss various categories with a
ssociated functorial spectral sequences. In such settings\, one can consid
er a hierarchy of notions of equivalence\, given by morphisms inducing an
isomorphism at a fixed stage of the associated spectral sequence. I'll dis
cuss model structures with these weak equivalences for filtered complexes\
, for bicomplexes and for multicomplexes. I will talk about joint work wit
h subsets of: Joana Cirici\, Daniela Egas Santander\, Xin Fu\, Ai Guan\, M
uriel Livernet and Stephanie Ziegenhagen\, as well as reporting on some wo
rk of my student James Brotherston.\n\nhttps://indico.math.cnrs.fr/event/5
722/contributions/5872/
URL:https://indico.math.cnrs.fr/event/5722/contributions/5872/
END:VEVENT
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