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Upcoming Talks

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

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, 19/12/2025 - 16:00
Location: 
MPIM Lecture Hall

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

Double ∞-categories

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Speaker: 
Jaco Ruit
Affiliation: 
Universiteit Utrecht/MPIM
Date: 
Mon, 23/06/2025 - 14:00 - 14:15
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

I will give a leisurely introduction to double ∞-categories, provide a range of examples, and explain why these structures are useful. In particular, I will sketch how they play a key role in an abstract framework that systematically develops different generalizations of ∞-category theories (like equivariant and enriched versions). This was part of my PhD thesis.

Deformations of log-symplectic forms

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Speaker: 
Mykola Matviichuk
Affiliation: 
Imperial College London/MPIM
Date: 
Mon, 23/06/2025 - 14:20 - 14:35
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

By a log-symplectic form I mean a meromorphic closed non-degenerate 2-form omega on a complex manifold X that has only simple poles along a divisor D. I will discuss how the de Rham class of omega in H^2(X\D) determines the deformations of the triple (X,D,omega). Some open problems about topology of the divisor deforming D will be discussed.

Local to Global results in Floer theory from neck-stretching

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Speaker: 
Soham Chanda
Affiliation: 
University of Southern California/MPIM
Date: 
Mon, 23/06/2025 - 14:40 - 14:55
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar
Floer theoretic invariants have been a very powerful tool in symplectic geometry which involves `counting' pseudo-holomorphic curves. Obtaining local-to-global principles in Floer theory has remained quite hard because of dealing with moduli spaces of pseudoholomorphic curves. I will explain the heuristic of neck-stretching to obtain local-to-global results in Floer theory and review some recent successful applications of the heuristic.


 

 

Arithmetic functions at integer polynomials

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Speaker: 
Efthymios Sofos 
Affiliation: 
University of Glasgow/MPIM
Date: 
Mon, 23/06/2025 - 16:30 - 17:30
Location: 
MPIM Lecture Hall

In joint work with Christopher Frei we use the circle method to estimate averages of arithmetic functions over values of random integer polynomials.
 

Global formality for embeddings of varieties

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Speaker: 
Alexander Vitanov
Affiliation: 
IHES
Date: 
Wed, 25/06/2025 - 10:30 - 12:00
Location: 
MPIM Lecture Hall

I will discuss a joint work in progress with Damien Calaque aimed at globalizing a local formality result by Calaque-Felder-Ferrario-Rossi.

The affine Chabauty method

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Speaker: 
Marius Leonhardt
Affiliation: 
Universität Heidelberg
Date: 
Wed, 25/06/2025 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Given a hyperbolic curve $Y$ defined over the integers and a finite set of primes $S$, the set of $S$-integral points $Y(\mathbb{Z}_S)$ is finite by theorems of Siegel, Mahler, and Faltings. Determining this set in practice is a difficult problem for which no general method is known. In this talk I report on joint work in progress with Martin Lüdtke in which we develop a Chabauty--Coleman method for finding $S$-integral points on affine curves.

Hilbert’s Tenth Problem for finitely generated rings and ranks of elliptic curves, I

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Speaker: 
Carlo Pagano
Affiliation: 
Concordia University/MPIM
Date: 
Thu, 26/06/2025 - 10:30 - 12:00
Location: 
MPIM Seminar Room

Lecture hall MPIM: Thursday 5 June, 16:30-18:00
Seminar room MPIM:  Thursday 26 June, 10:30-12:00 and 13:00-14:30

A simple intrinsic proof of the Tate conjecture for K3's of finite height

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Speaker: 
Ziquan Yang
Organiser(s): 
CUHK/MPIM
Date: 
Thu, 26/06/2025 - 10:30 - 12:00
Location: 
MPIM Lecture Hall

In the past decade, a major triumph for the Tate conjecture (over finite fields) is its resolution for K3 surfaces. However, all known proofs rely crucially on the Kuga-Satake construction—effectively outsourcing certain difficulties to the theory of abelian varieties. There is an alternative approach which seeks to prove the conjecture by linking it to finiteness statements in arithmetic geometry, and using only the geometry of K3 surfaces.

Hilbert’s Tenth Problem for finitely generated rings and ranks of elliptic curves, II

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Speaker: 
Carlo Pagano
Affiliation: 
Concordia University/MPIM
Date: 
Thu, 26/06/2025 - 13:00 - 14:00
Location: 
MPIM Seminar Room

Lecture hall MPIM: Thursday 5 June, 16:30-18:00
Seminar room MPIM:  Thursday 26 June, 10:30-12:00 and 13:00-14:30

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