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Talks and seminars, possibly part of a conference or series.

Hecke eigen-functions for curves over local non-archimedian fields

Posted in
Speaker: 
Alexander Braverman
Affiliation: 
University of Toronto
Date: 
Tue, 23/04/2024 - 15:00 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Extra talk

We give a survey of some recent constrictions and results concerning Hecke operators for the moduli space of G-bundles on a smooth projective curve X defined over a local non-archimedian field F (possibly with level structures). These operators are somewhat analogous to the usual Hecke operators in the case when F is a finite field but describing their common eigen-values is a much more difficult task. We'll discuss on what space the Hecke operators act, formulate some general conjectures about eigen-functions and consider some examples.

Classical real local Langlands for GL_2(R)

Posted in
Speaker: 
Stefan Dawydiak
Affiliation: 
Universität Bonn
Date: 
Tue, 16/04/2024 - 14:00 - 16:00
Location: 
MPIM Lecture Hall

Computing differentiable stack cohomology via multiplicative Ehresmann connections

Posted in
Speaker: 
Annika Tarnowsky
Affiliation: 
MPIM
Date: 
Wed, 17/04/2024 - 10:30 - 12:00
Location: 
MPIM Lecture Hall

tba

Posted in
Speaker: 
Ramesh Sreekantan
Affiliation: 
Indian Statistical Institute (SMU)
Date: 
Wed, 08/05/2024 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

tba

Posted in
Speaker: 
Vasily Golyshev
Affiliation: 
ICTP Trieste
Date: 
Wed, 24/04/2024 - 14:30 - 15:40
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

tba *Please note location!*

Posted in
Speaker: 
Umut Varolgunes
Affiliation: 
Koç University
Date: 
Fri, 17/05/2024 - 13:00 - 14:00
Location: 
MPIM Conference Room

Stability problems and differential graded Lie algebras

Posted in
Speaker: 
Karandeep Jandu Singh
Affiliation: 
MPIM Bonn
Date: 
Thu, 18/04/2024 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Stability problems appear in various forms throughout geometry and algebra. In differential geometry, given a vector field on a manifold that vanishes in a point, one can ask when nearby vector fields also vanish in a point. In algebra, given a Lie algebra and a subalgebra, one can ask when all deformations of the ambient Lie algebra also admit a Lie subalgebra of the same dimension. I will show that both questions are instances of a general question about differential graded Lie algebras.

Proper sheaves on Bun_G

Posted in
Speaker: 
Tim Kuppel
Affiliation: 
Universität Bonn
Date: 
Tue, 16/04/2024 - 10:00 - 11:30
Location: 
MPIM Lecture Hall

IMPRS seminar on various topics: single talk

Posted in
Date: 
Tue, 16/04/2024 - 10:00 - Tue, 06/08/2024 - 11:30
Location: 
MPIM Lecture Hall

On the distribution of supersingular primes for abelian surfaces

Posted in
Speaker: 
Tian Wang
Affiliation: 
MPIM Bonn
Date: 
Wed, 17/04/2024 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

In 1976, Lang and Trotter conjectured the asymptotic growth for the number of primes p up to x for which the reduction of a non-CM elliptic curve E/Q at p is supersingular. Though the conjecture is still open, we now have unconditional upper and lower bounds thanks to the work of several mathematicians. However, less has been studied for the distribution of supersingular primes for abelian surfaces (even conjecturally).

The equation $c_1x_1^k+...+c_sx_s^k=0$

Posted in
Speaker: 
Doyon Kim
Affiliation: 
University of Bonn
Date: 
Mon, 22/04/2024 - 14:00 - 16:00
Location: 
MPIM Seminar Room

tba [OS Differentialgeometrie]

Posted in
Speaker: 
Jean-Marc Schlenker
Affiliation: 
University of Luxembourg/MPIM
Date: 
Thu, 02/05/2024 - 16:30 - 18:00
Location: 
MPIM Seminar Room

Teleparallel Newton—Cartan Gravity

Posted in
Speaker: 
Philip Schwartz
Affiliation: 
Universität Hannover
Date: 
Thu, 18/04/2024 - 11:30 - 14:00
Location: 
MPIM Seminar Room
Parent event: 
MPIM Math-Phys Seminar
Newton—Cartan gravity is a differential-geometric reformulation of Newtonian gravity, bringing the latter closer to general relativity (GR): as in GR, gravitational effects are encoded into spacetime geometry, which however is of non-Lorentzian nature.

tba

Posted in
Speaker: 
Alexei Penskoi
Affiliation: 
MPIM, Bonn
Date: 
Thu, 04/07/2024 - 16:30 - 18:00
Location: 
MPIM Lecture Hall

First order rigidity of manifold homeomorphism groups

Posted in
Speaker: 
Sanghyun Kim
Affiliation: 
Korea Institute For Advanced Study
Date: 
Thu, 25/04/2024 - 16:30 - 18:00
Location: 
MPIM Lecture Hall

Two groups are elementarily equivalent if they have the same sets of true first order group theoretic sentences. We establish that if the homeomorphism groups of two compact connected manifolds are elementarily equivalent, then the manifolds are homeomorphic. This generalizes Whittaker's theorem on isomorphic homeomorphism groups (Ann. of Math. 1963) without relying on it. Our result also confirms a conjecture of M. Rubin (1989). We also show the analogous results for measure-preserving homeomorphism groups.

Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations

Posted in
Speaker: 
Thomas Wannerer
Affiliation: 
Friedrich-Schiller-Universität Jena
Date: 
Thu, 18/04/2024 - 16:30 - 18:00
Location: 
MPIM Lecture Hall

The Alexandrov-Fenchel inequality, a fundamental result in convex
geometry, has recently been shown to be one component within a broader
'Kahler package'. This structure was observed to emerge in different
areas of mathematics, including geometry, algebra, and combinatorics,
and encompasses Poincare duality, the hard Lefschetz theorem, and the
Hodge-Riemann relations. After unpacking these statements within the
context of this talk, I will explain where complex geometry intersects
with convex geometry in the proofs.

Finite braid group orbits on character varieties

Posted in
Speaker: 
Josh Lam
Affiliation: 
HU Berlin
Date: 
Thu, 18/04/2024 - 10:30 - 12:00
Location: 
MPIM Lecture Hall

The moduli space of rank n local systems on a topological surface admits an action of a huge group, namely the mapping class group. The finite orbits of this action then correspond to very special points in the moduli space. This is a generalization of the classical question of finding algebraic solutions to the Painlevé VI equation, which corresponds to n = 2 and the surface being the 4-punctured sphere.

tba

Posted in
Speaker: 
Alex Takeda
Date: 
Tue, 14/05/2024 - 13:30 - 14:30
Location: 
MPIM Seminar Room

tba

Posted in
Speaker: 
Amanda Hirshi
Date: 
Tue, 07/05/2024 - 13:30 - 14:30
Location: 
MPIM Seminar Room

tba

Posted in
Speaker: 
Yuan Yao
Affiliation: 
Paris
Date: 
Tue, 23/04/2024 - 13:30 - 14:30
Location: 
MPIM Seminar Room
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