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SUMMARY:Karim Adiprasito (Department of Mathematical Sciences\, University
of Copenhagen)
DTSTART;VALUE=DATE-TIME:20211101T150000Z
DTEND;VALUE=DATE-TIME:20211101T163000Z
DTSTAMP;VALUE=DATE-TIME:20240329T095409Z
UID:IMSAC/1
DESCRIPTION:Title: Le
fschetz theorems beyond Hodge structures\nby Karim Adiprasito (Departm
ent of Mathematical Sciences\, University of Copenhagen) as part of IMSAC
Distinguished Lecture Series\n\n\nAbstract\nOne of the key developments in
combinatorics and algebra of recent years has been the discovery of Lefsc
hetz principles beyond Hodge structures\, resolving several long-standing
conjectures. I will provide an overview over recent developments\, and dis
cuss joint work with Johanna Steinmeyer\, Stavros Papadakis and Vasiliki P
etrotou.\n
LOCATION:https://researchseminars.org/talk/IMSAC/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Karim Adiprasito (Department of Mathematical Sciences\, University
of Copenhagen)
DTSTART;VALUE=DATE-TIME:20211102T150000Z
DTEND;VALUE=DATE-TIME:20211102T163000Z
DTSTAMP;VALUE=DATE-TIME:20240329T095409Z
UID:IMSAC/2
DESCRIPTION:Title: Le
fschetz theorems beyond Hodge structures\nby Karim Adiprasito (Departm
ent of Mathematical Sciences\, University of Copenhagen) as part of IMSAC
Distinguished Lecture Series\n\n\nAbstract\nOne of the key developments in
combinatorics and algebra of recent years has been the discovery of Lefsc
hetz principles beyond Hodge structures\, resolving several long-standing
conjectures. I will provide an overview over recent developments\, and dis
cuss joint work with Johanna Steinmeyer\, Stavros Papadakis and Vasiliki P
etrotou\n
LOCATION:https://researchseminars.org/talk/IMSAC/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Don Zagier (International Centre for Theoretical Physics)
DTSTART;VALUE=DATE-TIME:20211029T143000Z
DTEND;VALUE=DATE-TIME:20211029T160000Z
DTSTAMP;VALUE=DATE-TIME:20240329T095409Z
UID:IMSAC/3
DESCRIPTION:Title: Fr
om Knots to Number Theory II\nby Don Zagier (International Centre for
Theoretical Physics) as part of IMSAC Distinguished Lecture Series\n\n\nAb
stract\nFirst talk: https://www.youtube.com/watch?v=Moq1pJp0f9g\n\nAbstrac
t\nDuring the course of the last few years a number of startling connectio
ns between quantum invariants of knots and 3-manifolds and high-level numb
er theory have emerged. Already the rigidity theorems of 3-dimensional hyp
erbolic topology\, which have been known for many years\, had a quite non-
trivial arithmetic content\, with the volume of every hyperbolic 3-manifol
d being linked via the dilogarithm to the so-called Bloch group and algebr
aic K-theory\, and another connection comes from the Kashaev invariant\, w
hich is linked via his famous conjecture to the hyperbolic volume but also
belongs to the so-called Habiro ring\, which is a beautiful number-theore
tical object that is not yet well known to number theorists. The more rece
nt developments that I will describe concern even deeper links to algebrai
c number theory (construction of non-trivial units) and algebraic K-theory
\, to a generalization of the classical Habiro ring to Habiro rings associ
ated to arbitrary algebraic number fields\, and above all to surprising
“quantum modularity” properties of the Kashaev invariant and its gener
alizations leading to a new type of object in the theory of modular forms.
All of the work that will be reported on is joint with Stavros Garoufalid
is\, and some of it also with Rinat Kashaev and with Peter Scholze.\n\nThe
lectures are intended for a general mathematical audience and do not requ
ire any prior knowledge of knot theory\, K-theory\, modular forms theory\,
or any other theory.\n
LOCATION:https://researchseminars.org/talk/IMSAC/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dennis Gaitsgory (Harvard University)
DTSTART;VALUE=DATE-TIME:20211108T150000Z
DTEND;VALUE=DATE-TIME:20211108T163000Z
DTSTAMP;VALUE=DATE-TIME:20240329T095409Z
UID:IMSAC/4
DESCRIPTION:Title: Ge
ometric Langlands I\nby Dennis Gaitsgory (Harvard University) as part
of IMSAC Distinguished Lecture Series\n\n\nAbstract\nWe will start these s
eries by reviewing the general framework of geometric Langlands correspond
ence\, and state the main conjectures in the de Rham and Betti settings. W
e will also recall V. Lafforgue’s theorem about the spectral decompositi
on in the classical Langlands over function fields. We will then proceed t
o the formulation of “restricted” Langlands correspondence\, which uni
fies the different contexts. We will state the restricted version of the g
eometric Langlands conjecture\, and explain its relation with the classica
l Langlands conjecture via the operation of categorical trace.\n
LOCATION:https://researchseminars.org/talk/IMSAC/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dennis Gaitsgory (Harvard University)
DTSTART;VALUE=DATE-TIME:20211110T150000Z
DTEND;VALUE=DATE-TIME:20211110T163000Z
DTSTAMP;VALUE=DATE-TIME:20240329T095409Z
UID:IMSAC/5
DESCRIPTION:Title: Ge
ometric Langlands II\nby Dennis Gaitsgory (Harvard University) as part
of IMSAC Distinguished Lecture Series\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/IMSAC/5/
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