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Upcoming Talks

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Abstracts of upcoming talks at the MPIM. For an overview see also the calendar.

Generalized Fermat equations with three distinct prime exponents

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Speaker: 
Sander Dahmen
Affiliation: 
VU University of Amsterdam
Date: 
Wed, 02/04/2025 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We consider the problem of solving $x^p+y^q=z^r$ in nonzero
coprime integers x,y,z in the notorious case when the exponent triple
(p,q,r) consists of three distinct primes other than (2,3,q). We focus
in particular on the cases (p,q,r)=(2,5,7) or (3,5,7), where partial
resolutions can be obtained, i.e. solutions under stringent congruence
conditions. The techniques used involve Hunter searching of number
fields aided by computing p-adic étale algebras, and determining
rational points on curves. This contains joint work with Samir Siksek
and Casper Putz.

Introductory talk to the online seminar "A study in derived algebraic geometry"

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Speaker: 
Dennis Gaitsgory
Organiser(s): 
Online seminar series organized at the University of Graz by Alexander Zahrer
Affiliation: 
MPIM
Date: 
Wed, 02/04/2025 - 15:00 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Extra talk
 
Introductory talk of the online seminar series "A study in derived algebraic geometry" organized 
at the University of Graz by Alexander Zahrer.
 
Thema: A study on DAG
Uhrzeit: 2.Apr.

Felix Klein Lecture / "Recent Progress on the theory of minimal surfaces"

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Speaker: 
André Neves
Affiliation: 
University of Chicago
Date: 
Thu, 03/04/2025 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Felix Klein Lecture jointly with the MPI-Oberseminar.

Further information: https://math-events.uni-bonn.de/event/260/

 

WIQI topology seminar - CANCELLED -

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Date: 
Fri, 04/04/2025 - 12:45 - 14:30
Location: 
MPIM Seminar Room

Seminar webpage: https://guests.mpim-bonn.mpg.de/bianchi/wiqi.html

Connecting essential triangulations

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Speaker: 
Tejas Kalelkar
Affiliation: 
Indian Institute of Science Education and Research/MPIM
Date: 
Tue, 08/04/2025 - 11:00 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Low-dimensional topology seminar

Let M be a 3-dimensional compact manifold with non-empty boundary. There exists a collection of tetrahedra stuck in pairs along their faces such that deleting all their vertices gives a space that is homeomorphic to the interior of M. This is called a (ideal) triangulation of M. Amendola, Matveev and Piergallini have shown that any two such triangulations of M are connected by a sequence of triangulations, where each triangulation in the sequence is obtained from the previous one by a local combinatorial change, namely a 2-3 or 3-2 move.

May I have a dream? Numerical, of course...

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Speaker: 
Wadim Zudilin
Affiliation: 
Radboud University Nijmegen/MPIM
Date: 
Wed, 09/04/2025 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Though the number $\pi$ is known to be irrational and transcendental, there are still a lot of open (and non-approachable at the moment) questions about its approximations by rational numbers. Where do such difficulties source from? What is exactly proving that a given (nice) number is irrational? How relevant is the structure of such concrete irrationality proofs? In my talk I will try to highlight these points and to explain why the "structure" is most important, in particular, when it comes to connection with more rational areas in mathematics.

Constructing modular forms geometrically

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Speaker: 
Gerard van der Geer
Affiliation: 
Amsterdam/MPIM
Date: 
Thu, 10/04/2025 - 10:30 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Seminar Algebraic Geometry (SAG)

Modular forms live on moduli spaces of abelian varieties and curves as sections of vector bundles. We indicate
geometric ways of constructing such forms.

This is joint work with Cléry, Faber and Kouvidakis.

On the Homological Theory of Modules over Commutative Rings

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Speaker: 
Olgur Celikbas
Affiliation: 
West Virginia University, Morgantown/MPIM
Date: 
Thu, 10/04/2025 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

This talk will be a partial survey of topics in homological commutative local algebra. In particular, I will discuss results on depth, homological dimensions, and torsion properties of tensor products and powers, as well as characterizations of Gorenstein and regular rings via (co)homology vanishing. I will also mention related conjectures and open problems in this area.

tba

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Speaker: 
Neeti Gauniyal
Affiliation: 
MPIM
Date: 
Tue, 15/04/2025 - 11:00 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Low-dimensional topology seminar

Twisted Milnor torsion for finite group actions

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Speaker: 
Pedram Hekmati
Affiliation: 
University of Auckland
Date: 
Wed, 16/04/2025 - 10:30 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Higher Differential Geometry Seminar

The Milnor torsion is an invariant of unitary flat vector bundles on closed odd-dimensional manifolds. Its analytic counterpart was introduced by Ray and Singer and the equality of these torsions is the celebrated Cheeger-Müller theorem. In this talk, I will discuss how to extend the Milnor torsion to certain equivariant flat superconnections (or representations up to homotopy) for finite group actions and its relation to analytic torsion of the twisted de Rham complex.

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