BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Quantum D-modules and toric flips
DTSTART;VALUE=DATE-TIME:20181204T063000Z
DTEND;VALUE=DATE-TIME:20181204T073000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1407@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hiroshi Iritani ()\nIn this talk\, I will describe h
ow the quantum D-modules of toric orbifolds change under toric birational
transformations. The analysis is based on mirror symmetry for toric orbifo
lds studied in joint work with Coates\, Corti and Tseng. I will also discu
ss how the gamma integral structures are related in some special cases. Th
is suggests a certain functorial relationship of quantum D-modules under b
irational transformations.\n\nhttps://indico.math.cnrs.fr/event/2425/contr
ibutions/1407/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1407/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Introduction to the geometric Langlands conjecture (1)
DTSTART;VALUE=DATE-TIME:20181203T010000Z
DTEND;VALUE=DATE-TIME:20181203T020000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1402@indico.math.cnrs.fr
DESCRIPTION:Speakers: Dima Arinkin ()\nThe geometric Langlands program tak
es its origin from a series of conjectures formulated by Langlands in late
1960's. A geometric version of these conjectures relates two natural spac
es associated to a Riemann surface: the space of vector bundles and the sp
ace of local systems. In my talks\, I will provide an informal introductio
n to the (global) geometric Langlands conjecture. I will then focus on som
e recent developments in this area\, which combine classical ideas and mod
ern tools. Finally\, I will discuss some related `flavors' of the geometri
c Langlands program: its classical limit and its quantization.\n\nhttps://
indico.math.cnrs.fr/event/2425/contributions/1402/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1402/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Higgs bundles for the Geometric Langlands correspondence
DTSTART;VALUE=DATE-TIME:20181205T030000Z
DTEND;VALUE=DATE-TIME:20181205T040000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-3368@indico.math.cnrs.fr
DESCRIPTION:Speakers: Carlos Simpson ()\nWe present current joint work wit
h Donagi and Pantev\, on the construction of some local systems entering i
nto the geometric Langlands correspondence\, by constructing the correspon
ding parabolic logarithmic Higgs bundles. We look at the case of a compact
genus 2 curve. The key feature\, as predicted by the program of Donagi an
d Pantev\, is that the spectral variety of the Higgs bundle on Bun is iden
tified with a blow-up of the Hitchin fiber.\n\nhttps://indico.math.cnrs.fr
/event/2425/contributions/3368/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/3368/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Generalized Riemann-Hilbert correspondence (1)
DTSTART;VALUE=DATE-TIME:20181203T023000Z
DTEND;VALUE=DATE-TIME:20181203T033000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1401@indico.math.cnrs.fr
DESCRIPTION:Speakers: Maxim Kontsevich ()\nLet P be a compact holomorphic
Poisson manifold with an open dense symplectic leaf M. Then\, under certai
n convergence assumptions\, one can define two triangulated categories ove
r complex numbers. The first category (A-model) is the compact Fukaya cate
gory of M considered as a real symlectic manifold endowed with a with B-fi
eld. The second category is the category of perfect modules over the non-p
erturbative deformation quantization of P\, with the vanishing restriction
to P-M. Generalized Riemann-Hilbert correspondence is a conjectured (by Y
. Soibelman and me) equivalence between these two categories. I'll explain
in details this conjecture and related companion conjectures. Also I'll i
llustrate it in the case of usual holonomic D-modules (when M is a cotange
nt bundle)\, and of q-difference and elliptic difference equations.\n\nhtt
ps://indico.math.cnrs.fr/event/2425/contributions/1401/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1401/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Duality of surface graphs and CohFT
DTSTART;VALUE=DATE-TIME:20181203T063000Z
DTEND;VALUE=DATE-TIME:20181203T073000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1403@indico.math.cnrs.fr
DESCRIPTION:Speakers: Motohico Mulase ()\nWe will present an alternative f
ormulation of cohomological field theories based on the categories of surf
ace graphs. The aim of this formalism is to visualize the classification t
heorem due to Givental and Teleman. Surface graph duality leads to a Frobe
nius-Hopf correspondence\, which illuminates the structure theorem of semi
-simple CohFT. Talk is based on my joint work with O. Dumitrescu.\n\nhttps
://indico.math.cnrs.fr/event/2425/contributions/1403/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1403/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Variations of BPS structure and enumerative geometry (1)
DTSTART;VALUE=DATE-TIME:20181204T010000Z
DTEND;VALUE=DATE-TIME:20181204T020000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1406@indico.math.cnrs.fr
DESCRIPTION:Speakers: Jacopo Stoppa ()\nA “variation of BPS structure”
is a nice name for the kind of infinite dimensional bundle with connectio
n one can construct\, at least formally\, starting from the Donaldson-Thom
as type invariants of a Calabi-Yau threefold. In the first part of the tal
k I will offer an introduction to this circle of ideas\, pointing to a lot
of references. Then I will focus on the concrete example of what happens
in this construction when we start with the DT invariants counting 1-dimen
sional torsion sheaves\, or more generally sheaf-theoretic Gopakumar-Vafa
invariants. The answer is closely related to the Gromov-Witten partition f
unction. This second part is based on work of Bridgeland and on some work
in progress.\n\nhttps://indico.math.cnrs.fr/event/2425/contributions/1406/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1406/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Exponential motives (1)
DTSTART;VALUE=DATE-TIME:20181204T023000Z
DTEND;VALUE=DATE-TIME:20181204T033000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1405@indico.math.cnrs.fr
DESCRIPTION:Speakers: Javier Fresán ()\nWhat motives are to algebraic var
ieties\, exponential motives are to algebraic varieties together with a re
gular function. Such pairs arise in a wealth of contexts: as Landau-Ginzbu
rg models in mirror symmetry of Fano varieties\, in the cohomological inte
rpretation of exponential sums over finite fields\, or when trying to trea
t numbers such as exponentials or special values of the gamma function on
an equal footing to periods. Following ideas of Kontsevich\, Katz\, and No
ri\, one can construct a Tannakian category of exponential motives over a
subfield of the complex numbers and a realisation functor with values on a
suitable subcategory of mixed Hodge modules over the affine line. I will
first explain the construction of the category and a useful criterion to d
ecide whether an exponential motive is classical or not. I will then illus
trate this criterion with an example where it allows one to study L-functi
ons associated with symmetric power moments of Kloosterman sums. The talks
are based on joint work with Peter Jossen (first part) and with Claude Sa
bbah and Jeng-Daw Yu (second part).\n\nhttps://indico.math.cnrs.fr/event/2
425/contributions/1405/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1405/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Birational geometry for d-critical loci and wall-crossing in Calab
i-Yau 3-folds
DTSTART;VALUE=DATE-TIME:20181204T050000Z
DTEND;VALUE=DATE-TIME:20181204T060000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1408@indico.math.cnrs.fr
DESCRIPTION:Speakers: Yukinobu Toda ()\nIn this talk\, I will discuss bira
tional geometry for Joyce's d-critical loci\, by introducing notions such
as 'd-critical flips'\, 'd-critical flops'\, etc. I will show that several
wall-crossing phenomena of moduli spaces of stable objects on Calabi-Yau
3-folds are described in terms of d-critical birational geometry\, e.g. ce
rtain wall-crossing diagrams of Pandharipande-Thomas stable pair moduli sp
aces form a d-critical minimal model program. I will also show the existen
ce of semi-orthogonal decompositions of the derived categories under simpl
e d-critical flips satisfying some conditions. This is motivated by a d-cr
itical analogue of Bondal-Orlov\, Kawamata's D/K equivalence conjecture\,
and also gives a categorification of wall-crossing formula of Donaldson-Th
omas invariants.\n\nhttps://indico.math.cnrs.fr/event/2425/contributions/1
408/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1408/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sandwich resolution of a dual free associative algebra
DTSTART;VALUE=DATE-TIME:20181205T003000Z
DTEND;VALUE=DATE-TIME:20181205T013000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1410@indico.math.cnrs.fr
DESCRIPTION:Speakers: Tomohide Terasoma ()\nLet D be the graded Q vector s
pace generated by motivic multiple zeta values modulo “π^2”. The dept
h filtration is defined as the subspaces of D generated by MZV's whose len
gths are less than or equal to given numbers. Broadhurst and Kreimer gave
a conjecture on the two variable generating function of the dimensions of
weight n and depth d part. This conjecture suggests the existence of an in
fluence of mixed elliptic motives on mixed Tate motives. The Hopf algebra
classifying the mixed elliptic motives is given by the relative bar comple
x defined by Hain. In this talk\, we introduce a certain resolution\, call
ed a sandwich resolution of a dual free associative algebra motivated by t
he Broadhurst-Kreimer's generating function and the relative bar complex.\
n\nhttps://indico.math.cnrs.fr/event/2425/contributions/1410/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1410/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The foliated topology and higher differential Galois theory
DTSTART;VALUE=DATE-TIME:20181205T014500Z
DTEND;VALUE=DATE-TIME:20181205T024500Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1409@indico.math.cnrs.fr
DESCRIPTION:Speakers: Joseph Ayoub ()\nThe foliated topology is a direct a
nalog of the étale topology in the category of schematic foliations. In t
he same way that étale topology is related to Galois theory\, the foliate
d topology is related to differential Galois theory. However\, in the latt
er context\, a new phenomenon appears: differential fields tend to have hi
gher differential Galois groups. I will report on some computations of hig
her differential Galois groups and\, if time permits\, I will describe a i
nteresting open question.\n\nhttps://indico.math.cnrs.fr/event/2425/contri
butions/1409/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1409/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Introduction to the geometric Langlands conjecture (2)
DTSTART;VALUE=DATE-TIME:20181206T010000Z
DTEND;VALUE=DATE-TIME:20181206T020000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1396@indico.math.cnrs.fr
DESCRIPTION:Speakers: Dima Arinkin ()\nThe geometric Langlands program tak
es its origin from a series of conjectures formulated by Langlands in late
1960's. A geometric version of these conjectures relates two natural spac
es associated to a Riemann surface: the space of vector bundles and the sp
ace of local systems. In my talks\, I will provide an informal introductio
n to the (global) geometric Langlands conjecture. I will then focus on som
e recent developments in this area\, which combine classical ideas and mod
ern tools. Finally\, I will discuss some related `flavors' of the geometri
c Langlands program: its classical limit and its quantization.\n\nhttps://
indico.math.cnrs.fr/event/2425/contributions/1396/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1396/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Generalized Riemann-Hilbert correspondence (2)
DTSTART;VALUE=DATE-TIME:20181206T023000Z
DTEND;VALUE=DATE-TIME:20181206T033000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1395@indico.math.cnrs.fr
DESCRIPTION:Speakers: Maxim Kontsevich ()\nLet P be a compact holomorphic
Poisson manifold with an open dense symplectic leaf M. Then\, under certai
n convergence assumptions\, one can define two triangulated categories ove
r complex numbers. The first category (A-model) is the compact Fukaya cate
gory of M considered as a real symlectic manifold endowed with a with B-fi
eld. The second category is the category of perfect modules over the non-p
erturbative deformation quantization of P\, with the vanishing restriction
to P-M. Generalized Riemann-Hilbert correspondence is a conjectured (by Y
. Soibelman and me) equivalence between these two categories. I'll explain
in details this conjecture and related companion conjectures. Also I'll i
llustrate it in the case of usual holonomic D-modules (when M is a cotange
nt bundle)\, and of q-difference and elliptic difference equations.\n\nhtt
ps://indico.math.cnrs.fr/event/2425/contributions/1395/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1395/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wild Hitchin moduli spaces
DTSTART;VALUE=DATE-TIME:20181206T063000Z
DTEND;VALUE=DATE-TIME:20181206T073000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1397@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hiraku Nakajima ()\nWe consider a wild Hitchin modul
i space on P1 with a wild singularity at 0 and a possible tame singularity
at infinity. This moduli space has rich structures\, some of which are no
t true for the usual cases. Moreover it is expected that this geometry is
connected with representation theory of affine Lie algebras at admissble l
evel. Based on the joint work arXiv:1809.043638 with Dedushenko\, Gukov\,
Pei and Ye.\n\nhttps://indico.math.cnrs.fr/event/2425/contributions/1397/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1397/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Variations of BPS structure and enumerative geometry (2)
DTSTART;VALUE=DATE-TIME:20181207T010000Z
DTEND;VALUE=DATE-TIME:20181207T020000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1400@indico.math.cnrs.fr
DESCRIPTION:Speakers: Jacopo Stoppa ()\nIn the first part of the talk I wi
ll describe what happens when we construct\, at least formally\, the “va
riation of BPS structure” starting from DT invariants which are no longe
r torsion\, but framed\, i.e. Pandharipande-Thomas stable pairs. The Gromo
v-Witten partition function reappears in a different limit. In the second
part of the talk I will go back to torsion invariants and explain how the
corresponding “variation of BPS structure” can be described in terms o
f much more familiar differential equations of hypergeometric type. Based
on arXiv:1705.08820 and arXiv:1712.01221.\n\nhttps://indico.math.cnrs.fr/e
vent/2425/contributions/1400/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1400/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Exponential motives (2)
DTSTART;VALUE=DATE-TIME:20181207T023000Z
DTEND;VALUE=DATE-TIME:20181207T033000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1399@indico.math.cnrs.fr
DESCRIPTION:Speakers: Javier Fresán ()\nWhat motives are to algebraic var
ieties\, exponential motives are to algebraic varieties together with a re
gular function. Such pairs arise in a wealth of contexts: as Landau-Ginzbu
rg models in mirror symmetry of Fano varieties\, in the cohomological inte
rpretation of exponential sums over finite fields\, or when trying to trea
t numbers such as exponentials or special values of the gamma function on
an equal footing to periods. Following ideas of Kontsevich\, Katz\, and No
ri\, one can construct a tannakian category of exponential motives over a
subfield of the complex numbers and a realisation functor with values on a
suitable subcategory of mixed Hodge modules over the affine line. I will
first explain the construction of the category and a useful criterion to d
ecide whether an exponential motive is classical or not. I will then illus
trate this criterion with an example where it allows one to study L-functi
ons associated with symmetric power moments of Kloosterman sums. The talks
are based on joint work with Peter Jossen (first part) and with Claude Sa
bbah and Jeng-Daw Yu (second part).\n\nhttps://indico.math.cnrs.fr/event/2
425/contributions/1399/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1399/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Toward a construction of 2-parameter family of Painlevé tau-funct
ion via the topological recursion
DTSTART;VALUE=DATE-TIME:20181203T050000Z
DTEND;VALUE=DATE-TIME:20181203T060000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1404@indico.math.cnrs.fr
DESCRIPTION:Speakers: Kohei Iwaki ()\nPainlevé equations are 2nd order no
n-linear ODEs with many interesting properties (Painlevé property\, isomo
nodromy deformation\, space of initial conditions…). In our previous wor
k with O. Marchal and A. Saenz\, it was shown that the tau-function corres
ponding to a particular solution of Painlevé equations (called 0-paramete
r solution) can be constructed as a partition function of the topological
recursion applied to a family of singular elliptic curves parametrized by
isomonodormic time (based on the idea of earlier work by G. Borot and B. E
ynard). In this talk\, I will present a conjectural expression of the tau
-function corresponding to the general solution (called 2-parameter soluti
on) of the first Painlevé equation through the topological recursion appl
ied to a family of smooth elliptic curves.\n\nhttps://indico.math.cnrs.fr/
event/2425/contributions/1404/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1404/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Coherent Satake functor
DTSTART;VALUE=DATE-TIME:20181206T050000Z
DTEND;VALUE=DATE-TIME:20181206T060000Z
DTSTAMP;VALUE=DATE-TIME:20210922T023900Z
UID:indico-contribution-2425-1398@indico.math.cnrs.fr
DESCRIPTION:Speakers: Roman Fedorov ()\nTo a reductive group G one can ass
ociate the so-called Langlands dual group G^. The geometric Satake equival
ence is the statement that the category of representations of G^ can be re
covered as the category of G(O)-equivariant D-modules on the affine Grassm
annain of G. (In fact\, this can be taken as the definition of G^ via the
Tannakian formalism). I will discuss an ongoing project with D. Arinkin w
here we aim at constructing the quasi-classical limit of the Satake equiva
lence\, laying foundations for the local Hitchin-Langlands duality.\n\nhtt
ps://indico.math.cnrs.fr/event/2425/contributions/1398/
LOCATION:RIMS Kyoto Room 420
URL:https://indico.math.cnrs.fr/event/2425/contributions/1398/
END:VEVENT
END:VCALENDAR