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Upcoming Talks

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

Bonn Symplectic Seminar

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Organiser(s): 
Nate Bottman
Date: 
Thu, 26/09/2024 - 11:00 - Tue, 01/04/2025 - 12:00
Location: 
MPIM Seminar Room
Details: 
Program and Abstracts of Bonn Symplectic Seminar

Oberseminar Arithmetic Geometry and Representation Theory

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Organiser(s): 
Prof. Dr. J. Fintzen, Prof. Dr. T. Kaletha, Prof. Dr. P. Scholze
Date: 
Fri, 11/10/2024 - 14:05 - Fri, 31/01/2025 - 16:00
Location: 
MPIM Lecture Hall
Details: 
Program and Abstracts of Oberseminar Arithmetic Geometry and Representation Theory

https://people.mpim-bonn.mpg.de/scholze/veranstaltungen.html

The Habiro Ring of a Number Field

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Speaker: 
Peter Scholze
Affiliation: 
MPIM
Date: 
Fri, 13/12/2024 - 10:15 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Vorlesung: Selected Topics in Algebra: The Habiro Ring of a Number Field

tba

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Date: 
Fri, 13/12/2024 - 12:45 - 14:00
Location: 
MPIM Seminar Room
Parent event: 
WIQI topology seminar

Motivic cohomology of singular schemes

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Speaker: 
Tess Bouis
Affiliation: 
Universität Regensburg
Date: 
Fri, 13/12/2024 - 14:05 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Arithmetic Geometry and Representation Theory

I will present a new theory of motivic cohomology for general (qcqs) schemes, which generalises the construction of Elmanto-Morrow over a field. It is related to non-connective algebraic K-theory via an Atiyah-Hirzebruch spectral sequence. In particular, it is non-A^1-invariant in general, but it recovers classical motivic cohomology on smooth schemes over a field (by the work of Elmanto-Morrow) or over a Dedekind domain (by recent work in progress with Arnab Kundu). I will also discuss how one can import results from prismatic cohomology to study this theory of motivic cohomology.

Stably exotic 4-manifolds and fillings

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Speaker: 
Daniel Kasprowski
Affiliation: 
University of Southampton
Date: 
Mon, 16/12/2024 - 14:00 - 15:00
Parent event: 
Low-dimensional topology seminar

Two closed, smooth 4-manifolds are stably exotic if they are stably homeomorphic but not stably diffeomorphic. Orientable stable exotica do not exist by a result of Gompf,
but Kreck showed that nonorientable examples are plentiful. I will give precise conditions for which normal 1-types stable exotica exist. This is joint work with Mark Powell.
I will also discuss the (non)existence of stably exotic fillings for some families of 3-manifolds. This is joint work with Patrick Orson, Mark Powell and Aru Ray.

Multiplicative sequences and genera

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Speaker: 
Dominik Kirstein
Affiliation: 
MPIM
Date: 
Mon, 16/12/2024 - 16:30 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
IMPRS seminar on Modular Forms

Smoothing codimension two submanifolds

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Speaker: 
Mark Powell
Affiliation: 
University of Glasgow
Date: 
Tue, 17/12/2024 - 11:00 - 12:15
Location: 
MPIM Lecture Hall
Parent event: 
Low-dimensional topology seminar

I will discuss the extent to which a codimension two locally flat submanifold can be improved to a smooth submanifold, focusing on the case of embedded 4-manifolds. Joint work with Michelle Daher.

Geometrization of real local Langlands, II

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Speaker: 
Peter Scholze
Affiliation: 
MPIM
Date: 
Tue, 17/12/2024 - 16:00 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
Geometric Langlands seminar

I will explain a version of the local Langlands correspondence for real groups in terms of a geometric Langlands correspondence on the twistor-P^1, suitably interpreted. As a prelude, I will explain how to think about representations of real groups in terms of quasicoherent sheaves on analytic stacks.

Zoom link:

Intersections of geodesics on Shimura curves

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Speaker: 
Håvard Damm-Johnsen
Affiliation: 
University of Oxford/MPIM
Date: 
Wed, 18/12/2024 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Rickards recently noted that a certain generating series of intersection numbers of geodesics on a compact Shimura curve defines a weight 2 elliptic modular form.
This turns out to be a diagonal restriction of a very specific Hilbert modular form. I will explain how this is a special case of a more general story with ties to the
work of Gross and Zagier on differences of singular moduli, geometric theta lifts, and recent work of Darmon-Pozzi-Vonk.

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