BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Gonçalo Tabuada (FCT / UNL\, Portugal)
DTSTART;VALUE=DATE-TIME:20200724T123000Z
DTEND;VALUE=DATE-TIME:20200724T133000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/1
DESCRIPTION:Title: Nonc
ommutative Weil conjectures\nby Gonçalo Tabuada (FCT / UNL\, Portugal
) as part of Geometry and Physics @ Lisbon\n\n\nAbstract\nThe Weil conject
ures (proved by Deligne in the 70's) played a key role in the development
of modern algebraic geometry. In this talk\, making use of some recent top
ological "technology"\, I will extended the Weil conjectures from the real
m of algebraic geometry to the broad noncommutative setting of differentia
l graded categories. Moreover\, I will prove the noncommutative Weil conje
ctures in some interesting cases.\n
LOCATION:https://researchseminars.org/talk/GPL/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Davide Masoero (GFMUL\, Lisbon)
DTSTART;VALUE=DATE-TIME:20201023T131500Z
DTEND;VALUE=DATE-TIME:20201023T141500Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/2
DESCRIPTION:Title: The
Painlevé I equation and the A2 quiver\nby Davide Masoero (GFMUL\, Lis
bon) as part of Geometry and Physics @ Lisbon\n\n\nAbstract\nWe study a se
cond-order linear differential equation known as the deformed cubic oscill
ator\, whose isomonodromic deformations are controlled by the first Painle
vé equation. We use the generalised monodromy map for this equation to gi
ve solutions to the Bridgeland's Riemann-Hilbert problem arising from the
Donaldson-Thomas theory of the A2 quiver.\n\nThe talk is partially based o
n a work in collaboration with Tom Bridgeland (https://arxiv.org/abs/2006.
10648)\n\nMore information and sponsors:\nhttp://cmafcio.campus.ciencias.u
lisboa.pt/node/170\n
LOCATION:https://researchseminars.org/talk/GPL/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giordano Cotti (FCUL\, Lisbon)
DTSTART;VALUE=DATE-TIME:20201216T140000Z
DTEND;VALUE=DATE-TIME:20201216T150000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/3
DESCRIPTION:Title: Quan
tum differential equations\, isomonodromic deformations\, and derived cate
gories\nby Giordano Cotti (FCUL\, Lisbon) as part of Geometry and Phys
ics @ Lisbon\n\n\nAbstract\nThe quantum differential equation (qDE) is a r
ich object attached to a smooth projective variety X. It is an ordinary di
fferential equation in the complex domain which encodes information of the
enumerative geometry of X\, more precisely its Gromov-Witten theory. Furt
hermore\, the asymptotic and monodromy of its solutions conjecturally rule
s also the topology and complex geometry of X. \n\nThese differential equa
tions were introduced in the middle of the creative impetus for mathematic
ally rigorous foundations of Topological Field Theories\, Supersymmetric Q
uantum Field Theories and related Mirror Symmetry phenomena. Special menti
on has to be given to the relation between qDE's and Dubrovin-Frobenius ma
nifolds\, the latter being identifiable with the space of isomonodromic de
formation parameters of the former. \n\nThe study of qDE’s represents a
challenging active area in both contemporary geometry and mathematical ph
ysics: it is continuously inspiring the introduction of new mathematical t
ools\, ranging from algebraic geometry\, the realm of integrable systems\,
the analysis of ODE’s\, to the theory of integral transforms and specia
l functions.\n\nThis talk will be a gentle introduction to the analytical
study of qDE’s\, their relationship with derived categories of coherent
sheaves (in both non-equivariant and equivariant settings)\, and a theory
of integral representations for its solutions. The talk will be a survey o
f the results of the speaker in this research area.\n
LOCATION:https://researchseminars.org/talk/GPL/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:André Oliveira (Univ. Porto)
DTSTART;VALUE=DATE-TIME:20210122T140000Z
DTEND;VALUE=DATE-TIME:20210122T150000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/4
DESCRIPTION:Title: Lie
algebras and higher Teichmüller components\nby André Oliveira (Univ.
Porto) as part of Geometry and Physics @ Lisbon\n\n\nAbstract\nConsider t
he moduli space M(G) of G-Higgs bundles on a compact Riemann surface X\, f
or a real semisimple Lie group G. Hitchin components in the split real for
m case and maximal components in the Hermitian case were\, for several yea
rs\, the only known source of examples of higher Teichmüller components
of M(G). These components (which are not fully distinguished by topologica
l invariants) are important because the corresponding representations of t
he fundamental group of X have special properties\, generalizing Teichmü
ller space\, such as being discrete and faithful. Recently\, the existence
of new such higher Teichmüller components was proved for G = SO(p\,q) w
hich\, in general\, is not neither split nor Hermitian.\n\nIn this talk I
will explain the new Lie theoretic notion of magical nilpotent\, which giv
es rise to the classification of groups for which such components exist. I
t turns out that this classification agrees with the one of Guichard and W
ienhard for groups admitting a positive structure. We provide a parametriz
ation of higher Teichmüller components\, generalizing the Hitchin sectio
n for split real forms and the Cayley correspondence for maximal component
s in the Hermitian (tube type) case.\n\nThis is joint work with S. Bradlow
\, B. Collier\, O. García-Prada and P. Gothen.\n
LOCATION:https://researchseminars.org/talk/GPL/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giordano Cotti (GFMUL\, Lisbon)
DTSTART;VALUE=DATE-TIME:20210209T100000Z
DTEND;VALUE=DATE-TIME:20210209T120000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/5
DESCRIPTION:Title: Frob
enius manifolds\, irregular singularities\, and isomonodromy deformations\
, Lecture I\nby Giordano Cotti (GFMUL\, Lisbon) as part of Geometry an
d Physics @ Lisbon\n\n\nAbstract\nLecture I - Introduction to Frobenius ma
nifolds\n\nThe aim of the course is to give a self-contained introduction
to the analytic theory of Frobenius manifolds\, ordinary differential equa
tions with rational coefficients in complex domains\, and their isomonodro
mic deformations. Applications to enumerative geometry will also be discus
sed. In the final part of the mini-course\, more recent results in this re
search area will be presented.\n\nThe course will consist of 5 lectures\,
which will be shown live on YouTube\, at the url shown below (where the le
ctures will stay available for a later view).\n\nThe public has the possib
ility to ask questions to the speaker through the live-chat\, that will be
read by a moderator.\n\nFor more information\, including the syllabus\, t
he abstract of each lecture and the recommended literature\, visit: https:
//irregular.rd.ciencias.ulisboa.pt/frobenius-manifolds-irregular-singulari
ties-and-isomonodromy-deformations/\n\nThe course is a part of the FCT Res
earch Project "Irregular connections on algebraic curves and quantum field
theory" (PTDC/MAT-PUR/30234/2017) \nhttps://irregular.rd.ciencias.ulisboa
.pt\n\nGroup of Mathematical Physics of Lisbon University\n
LOCATION:https://researchseminars.org/talk/GPL/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giordano Cotti (GFMUL\, Lisbon)
DTSTART;VALUE=DATE-TIME:20210211T100000Z
DTEND;VALUE=DATE-TIME:20210211T120000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/6
DESCRIPTION:Title: Frob
enius manifolds\, irregular singularities\, and isomonodromy deformations\
, Lecture II\nby Giordano Cotti (GFMUL\, Lisbon) as part of Geometry a
nd Physics @ Lisbon\n\n\nAbstract\nLecture II - Examples of Frobenius mani
folds\n\nThe aim of the course is to give a self-contained introduction to
the analytic theory of Frobenius manifolds\, ordinary differential equati
ons with rational coefficients in complex domains\, and their isomonodromi
c deformations. Applications to enumerative geometry will also be discusse
d. In the final part of the mini-course\, more recent results in this rese
arch area will be presented.\n\nThe course will consist of 5 lectures\, wh
ich will be shown live on YouTube\, at the url shown below (where the lect
ures will stay available for a later view).\n\nThe public has the possibil
ity to ask questions to the speaker through the live-chat\, that will be r
ead by a moderator.\n\nFor more information\, including the syllabus\, the
abstract of each lecture and the recommended literature\, visit: https://
irregular.rd.ciencias.ulisboa.pt/frobenius-manifolds-irregular-singulariti
es-and-isomonodromy-deformations/\n\nThe course is a part of the FCT Resea
rch Project "Irregular connections on algebraic curves and quantum field t
heory" (PTDC/MAT-PUR/30234/2017) \nhttps://irregular.rd.ciencias.ulisboa.p
t\n\nGroup of Mathematical Physics of Lisbon University\n
LOCATION:https://researchseminars.org/talk/GPL/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giordano Cotti (GFMUL\, Lisbon)
DTSTART;VALUE=DATE-TIME:20210216T100000Z
DTEND;VALUE=DATE-TIME:20210216T120000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/7
DESCRIPTION:Title: Frob
enius manifolds\, irregular singularities\, and isomonodromy deformations\
, Lecture III\nby Giordano Cotti (GFMUL\, Lisbon) as part of Geometry
and Physics @ Lisbon\n\n\nAbstract\nLecture III - Analytic theory of Frobe
nius manifolds\, Part I\n\nThe aim of the course is to give a self-contain
ed introduction to the analytic theory of Frobenius manifolds\, ordinary d
ifferential equations with rational coefficients in complex domains\, and
their isomonodromic deformations. Applications to enumerative geometry wil
l also be discussed. In the final part of the mini-course\, more recent re
sults in this research area will be presented.\n\nThe course will consist
of 5 lectures\, which will be shown live on YouTube\, at the url shown bel
ow (where the lectures will stay available for a later view).\n\nThe publi
c has the possibility to ask questions to the speaker through the live-cha
t\, that will be read by a moderator.\n\nFor more information\, including
the syllabus\, the abstract of each lecture and the recommended literature
\, visit: https://irregular.rd.ciencias.ulisboa.pt/frobenius-manifolds-irr
egular-singularities-and-isomonodromy-deformations/\n\nThe course is a par
t of the FCT Research Project "Irregular connections on algebraic curves a
nd quantum field theory" (PTDC/MAT-PUR/30234/2017) \nhttps://irregular.rd.
ciencias.ulisboa.pt\n\nGroup of Mathematical Physics of Lisbon University\
n
LOCATION:https://researchseminars.org/talk/GPL/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giordano Cotti (GFMUL\, Lisbon)
DTSTART;VALUE=DATE-TIME:20210218T100000Z
DTEND;VALUE=DATE-TIME:20210218T120000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/8
DESCRIPTION:Title: Frob
enius manifolds\, irregular singularities\, and isomonodromy deformations\
, Lecture IV\nby Giordano Cotti (GFMUL\, Lisbon) as part of Geometry a
nd Physics @ Lisbon\n\n\nAbstract\nLecture IV - Analytic theory of Frobeni
us manifolds\, Part II\n\nThe aim of the course is to give a self-containe
d introduction to the analytic theory of Frobenius manifolds\, ordinary di
fferential equations with rational coefficients in complex domains\, and t
heir isomonodromic deformations. Applications to enumerative geometry will
also be discussed. In the final part of the mini-course\, more recent res
ults in this research area will be presented.\n\nThe course will consist o
f 5 lectures\, which will be shown live on YouTube\, at the url shown belo
w (where the lectures will stay available for a later view).\n\nThe public
has the possibility to ask questions to the speaker through the live-chat
\, that will be read by a moderator.\n\nFor more information\, including t
he syllabus\, the abstract of each lecture and the recommended literature\
, visit: \nhttps://irregular.rd.ciencias.ulisboa.pt/frobenius-manifolds-ir
regular-singularities-and-isomonodromy-deformations/\n\nThe course is a pa
rt of the FCT Research Project "Irregular connections on algebraic curves
and quantum field theory" (PTDC/MAT-PUR/30234/2017) \nhttps://irregular.rd
.ciencias.ulisboa.pt\n\nGroup of Mathematical Physics of Lisbon University
\n
LOCATION:https://researchseminars.org/talk/GPL/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giordano Cotti (GFMUL\, Lisbon)
DTSTART;VALUE=DATE-TIME:20210219T100000Z
DTEND;VALUE=DATE-TIME:20210219T120000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/9
DESCRIPTION:Title: Frob
enius manifolds\, irregular singularities\, and isomonodromy deformations\
, Lecture V\nby Giordano Cotti (GFMUL\, Lisbon) as part of Geometry an
d Physics @ Lisbon\n\n\nAbstract\nLecture V - Some recent results and work
in progress\n\nThe aim of the course is to give a self-contained introduc
tion to the analytic theory of Frobenius manifolds\, ordinary differential
equations with rational coefficients in complex domains\, and their isomo
nodromic deformations. Applications to enumerative geometry will also be d
iscussed. In the final part of the mini-course\, more recent results in th
is research area will be presented.\n\nThe course will consist of 5 lectur
es\, which will be shown live on YouTube\, at the url shown below (where t
he lectures will stay available for a later view).\n\nThe public has the p
ossibility to ask questions to the speaker through the live-chat\, that wi
ll be read by a moderator.\n\nFor more information\, including the syllabu
s\, the abstract of each lecture and the recommended literature\, visit: h
ttps://irregular.rd.ciencias.ulisboa.pt/frobenius-manifolds-irregular-sing
ularities-and-isomonodromy-deformations/\n\nThe course is a part of the FC
T Research Project "Irregular connections on algebraic curves and quantum
field theory" (PTDC/MAT-PUR/30234/2017) \nhttps://irregular.rd.ciencias.ul
isboa.pt\n\nGroup of Mathematical Physics of Lisbon University\n
LOCATION:https://researchseminars.org/talk/GPL/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Krämer (Humboldt Universität zu Berlin)
DTSTART;VALUE=DATE-TIME:20210219T140000Z
DTEND;VALUE=DATE-TIME:20210219T150000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/10
DESCRIPTION:Title: Sem
icontinuity of Gauss maps and the Schottky problem\nby Thomas Krämer
(Humboldt Universität zu Berlin) as part of Geometry and Physics @ Lisbon
\n\n\nAbstract\nWe show that the degree of the Gauss map for subvarieties
of abelian varieties is semicontinuous in families\, and we discuss its ju
mp loci. In the case of theta divisors this gives a finite stratification
of the moduli space of ppav's whose strata include the Torelli locus and t
he Prym locus. More generally we obtain semicontinuity results for the int
ersection cohomology of algebraic varieties with a finite morphism to an a
belian variety\, leading to a topological interpretation for various jump
loci in algebraic geometry. \n\nThis is joint work with Giulio Codogni.\n
LOCATION:https://researchseminars.org/talk/GPL/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ricardo Campos (CNRS/University of Montpellier)
DTSTART;VALUE=DATE-TIME:20210319T150000Z
DTEND;VALUE=DATE-TIME:20210319T160000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/11
DESCRIPTION:Title: Con
figuration spaces of points and their homotopy type\nby Ricardo Campos
(CNRS/University of Montpellier) as part of Geometry and Physics @ Lisbon
\n\n\nAbstract\nGiven a topological space X\, one can study the configurat
ion space of n points on it: the subspace of X^n in which two points canno
t share the same position. Despite their apparent simplicity such configur
ation spaces are remarkably complicated\; the homology of these spaces is
reasonably unknown\, let alone their homotopy type. This classical problem
in algebraic topology has much impact in more modern mathematics\, namely
in understanding how manifolds can embed in other manifolds\, such as in
knot theory. In this talk I will give a gentle introduction to this topic
and explain how using ideas going back to Kontsevich we can obtain algebra
ic models for the rational homotopy type of configuration spaces of points
.\n
LOCATION:https://researchseminars.org/talk/GPL/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre Schapira (Sorbonne University)
DTSTART;VALUE=DATE-TIME:20210416T140000Z
DTEND;VALUE=DATE-TIME:20210416T150000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/12
DESCRIPTION:Title: Eul
er calculus of constructible functions and applications\nby Pierre Sch
apira (Sorbonne University) as part of Geometry and Physics @ Lisbon\n\n\n
Abstract\nIn this elementary talk\, we will recall the classical notions o
f subanalytic sets\, constructible sheaves and constructible functions on
a real analytic manifold and explain how to treat such objects “up to in
finity’”. \n\nNext\, we will describe the Euler calculus of constructi
ble functions\, in which integration is purely topological\, with applicat
ions to tomography. Finally we will show how the gamma-topology on a vecto
r space allows one to embed the space of constructible functions in that o
f distributions.\n
LOCATION:https://researchseminars.org/talk/GPL/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stéphane Guillermou (CNRS\, Univ. Grenoble)
DTSTART;VALUE=DATE-TIME:20210514T140000Z
DTEND;VALUE=DATE-TIME:20210514T150000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/13
DESCRIPTION:Title: Sta
ble Gauss map of nearby Lagrangians\nby Stéphane Guillermou (CNRS\, U
niv. Grenoble) as part of Geometry and Physics @ Lisbon\n\n\nAbstract\nThe
stable Gauss map of a Lagrangian $L$ in a cotangent $T^*M$ is a map $g\\c
olon L \\to U/O$ obtained by stabilization of the usual Gauss map from $L$
to the Lagrangian Grassmannian of $T^*M$. Arnold's conjecture on nearby
Lagrangians implies in particular that $g$ is homotopic to a constant map.
We will see the weaker result that the map induced by $g$ on the homotopy
groups is trivial.\n\nThis is joint work with Mohammed Abouzaid\, Sylvain
Courte and Thomas\n
LOCATION:https://researchseminars.org/talk/GPL/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sean Lawton (George Mason Univ.)
DTSTART;VALUE=DATE-TIME:20210614T130000Z
DTEND;VALUE=DATE-TIME:20210614T140000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/14
DESCRIPTION:Title: Fla
wed Groups\nby Sean Lawton (George Mason Univ.) as part of Geometry an
d Physics @ Lisbon\n\n\nAbstract\nA group is flawed if its moduli space of
G-representations is\nhomotopic to its moduli space of K-representations
for all reductive\naffine algebraic groups G with maximal compact subgroup
K. In this talk\nwe discuss this definition\, and associated examples\,
theorems\, and\nconjectures. This work is in collaboration with Carlos Flo
rentino.\n
LOCATION:https://researchseminars.org/talk/GPL/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sean Lawton (George Mason Univ.)
DTSTART;VALUE=DATE-TIME:20210621T130000Z
DTEND;VALUE=DATE-TIME:20210621T140000Z
DTSTAMP;VALUE=DATE-TIME:20210612T223202Z
UID:GPL/15
DESCRIPTION:Title: Poi
sson maps between character varieties\nby Sean Lawton (George Mason Un
iv.) as part of Geometry and Physics @ Lisbon\n\n\nAbstract\nWe explore in
duced mappings between character varieties by\nmappings between surfaces.
It is shown that these mappings are generally\nPoisson. We also explicitly
calculate the Poisson bi-vector in a new\ncase. This work is in collabor
ation with Indranil Biswas\, Jacques\nHurtubise\, and Lisa C. Jeffrey.\n
LOCATION:https://researchseminars.org/talk/GPL/15/
END:VEVENT
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