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Kommende Vorträge

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Ausführliche Liste aller demnächst stattfindenden Vorträge und Seminare. Für eine Übersicht konsultieren Sie bitte auch den Kalender.

Recent developments in Quantum Topology -- Cancelled --

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We will review the basics of quantum topology such as the colored Jones polynomial of a knot, its standard conjectures relating to asymptotics, arithmeticity and modularity, as well as the recent quantum hyperbolic invariants of Kashaev et al, their state-integrals and their structural properties. The course is aimed to be accessible by graduate students and young researchers.

Estimations of major and minor arcs

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Speaker: 
Huimin Zhang
Zugehörigkeit: 
University of Bonn
Datum: 
Mon, 26/02/2024 - 14:00 - 16:00
Location: 
MPIM Seminar Room

Violation of local-to-global principles for rationality and linearizability

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Speaker: 
Boris Kunyavski
Zugehörigkeit: 
Bar-Ilan University/MPIM
Datum: 
Mit, 28/02/2024 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

In the first part, based on the preprint arXiv:2305.03481 (to appear in Comptes Rendus Math.), we show that even within a class of varieties where the BrauerManin obstruction is the only obstruction to the local-to-global principle for the existence of rational points (Hasse principle), this obstruction, even in a stronger, base change invariant form, may be insufficient for explaining counter-examples to the local-to-global principle for rationality.

The Atiyah—Singer Index Theorem, Revisited From Supersymmetry

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Speaker: 
Jonah Epstein
Zugehörigkeit: 
Universität Bonn
Datum: 
Don, 29/02/2024 - 11:30 - 14:00
Location: 
MPIM Seminar Room
Parent event: 
MPIM Math-Phys Seminar

Frobenius theorem in Algebraic Geometry

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Speaker: 
Federico Bongiorno
Zugehörigkeit: 
Imperial College London/MPIM
Datum: 
Don, 29/02/2024 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

In the past century, foliations have been studied intensively in the context of differential geometry. However, they have recently received a surge of interest from algebraic geometers as a tool to tackle long standing conjectures such as the abundance and the Green--Griffiths conjecture. The aim of this talk is to introduce foliations using the language of stacks and to interpret Frobenius theorem as a local structure theorem for these stacks.

Crash course in differential topology, part II

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Speaker: 
Roberto Ladu
Zugehörigkeit: 
MPIM
Datum: 
Mon, 04/03/2024 - 14:00 - 16:00
Location: 
MPIM Lecture Hall

Hitchin representations and higher rank lattices

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Speaker: 
Jacques Audibert
Zugehörigkeit: 
MPIM
Datum: 
Don, 07/03/2024 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Let S be a closed orientable surface of genus at least 2. The Hitchin component is a special connected component of the space of representations of the fundamental group of S in SL(n,R). All the representations in it are faithful and have discrete image. Motivated by the study of higher rank lattices, the goal of this talk is to construct Hitchin representations whose image is contained in a lattice of SL(n,R). This gives new examples of Zariski-dense subgroups in arithmetic groups (these are "thin" subgroups). I will start by presenting the Hitchin component and motivating the problem.

tba

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Speaker: 
Gerard van der Geer
Zugehörigkeit: 
University of Amsterdam
Datum: 
Fre, 08/03/2024 - 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar
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