Upcoming Talks

Abstracts of upcoming talks at the MPIM. For an overview see also the calendar [2].

Oberseminar Arithmetic Geometry and Representation Theory [3]

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Talk [4]

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 [5]

Details:

Program [6] and Abstracts [7] of Oberseminar Arithmetic Geometry and Representation Theory

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

Eichler-Shimura theory [8]

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Talk [4]

Speaker:

Jelena Ivancic

Affiliation:

MPIM/Universität Bonn

Date:

Mon, 16/06/2025 - 14:00 - 16:00

Location:

Center for Mathematics Bonn [9]

Parent event:

ARGOS (Arithmetische Geometrie Oberseminar) [10]

Venue: Endenicher Allee 60, Room 1.007, Math. Center, University of Bonn

What connects Symplectic Geometry so deeply with Algebraic Geometry and Low Dimensional Topology? [11]

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Talk [4]

Speaker:

Katrin Wehrheim

Affiliation:

UC Berkeley/MPIM

Date:

Mon, 16/06/2025 - 14:00 - 15:00

Location:

MPIM Lecture Hall [5]

Parent event:

MPIM Topology Seminar [12]

The answer that I will propose is a higher categorical structure in symplectic geometry that includes all Fukaya categories and geometric functors between them. Its highly involved algebraic and analytic details are the topic of joint work with Nate Bottman. However, its basic structure can be understood as a natural -- yet not previously studied -- extension of the category of topological spaces and continuous maps.

Read more [11]

The elliptic gamma function [13]

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Talk [4]

Speaker:

Wadim Zudilin

Affiliation:

Radboud University Nijmegen/MPIM

Date:

Mon, 16/06/2025 - 16:30 - 17:30

Location:

MPIM Lecture Hall [5]

Parent event:

PLeaSANT (Participative Learning Seminar on Any Number Theory) [14]

The elliptic gamma function was (re)discovered in 1997 by Ruijsenaars; it gives rise to solutions of models in statistical / mathematical physics. It has a surprising number-theoretic appearance as demonstrated recently by Bergeron, Charollois and García. In parallel with the role of classical Jacobi theta form describing the class field for quadratic imaginary fields, the elliptic gamma function (conjecturally) does this task for cubic fields with a complex embedding.

Read more [13]

tba [15]

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Talk [4]

Speaker:

Robert Schneiderman

Affiliation:

Lehman College CUNY

Date:

Tue, 17/06/2025 - 11:00 - 12:00

Location:

MPIM Lecture Hall [5]

Parent event:

Low-dimensional topology seminar [16]

Counting special points on quadratic surfaces [17]

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Talk [4]

Speaker:

Saurabh Singh

Affiliation:

Indian Institute of Technology Kanpur/MPIM

Date:

Wed, 18/06/2025 - 14:30 - 15:30

Location:

MPIM Lecture Hall [5]

Parent event:

Number theory lunch seminar [18]

We show that the modern version of the circle method powered by the equidistribution of quadratic roots allows us to count special points on quadratic surfaces. For example, we obtain asymptotics for integer points on quadratic surfaces with prime coordinates and in short intervals.

The K-theory of graded rings [19]

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Talk [4]

Speaker:

Luuk Stehouwer

Affiliation:

Dalhousie University

Date:

Wed, 18/06/2025 - 16:30 - 17:30

Location:

MPIM Seminar Room [20]

Parent event:

Abstract Homotopy Theory Seminar [21]

The topological K-theory of Z/2-graded C*-algebras plays an important role in operator theory. Historically, finding the definition was rather subtle, for several reasons. For example, simply taking the K-theory of a category of graded modules does not give the 'correct' definition, as I will explain. The definition of Z/2-graded C*-algebras by Karoubi is mostly outmoded because of Kasparov's KK-theory, whose technical definitions are more amenable to computations in index theory.

Read more [19]

Beilinson-Bernstein localization via examples [22]

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Talk [4]

Speaker:

Daniel Bermudez

Affiliation:

MPIM/Universität Bonn

Date:

Fri, 20/06/2025 - 10:15 - 11:45

Location:

MPIM Lecture Hall [5]

Parent event:

IMPRS seminar on various topics: D-modules [23]

What can the graph-structure of an automaton tell us about the support of its corresponding sequence? [24]

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Talk [4]

Speaker:

Mieke Wessel

Affiliation:

Göttingen

Date:

Fri, 20/06/2025 - 11:15 - 11:45

Location:

MPIM Seminar Room [20]

Parent event:

PLeaSANT (Participative Learning Seminar on Any Number Theory) [14]

By a Theorem of Cobham, it is known that the support of an automatic sequence up to N grows either polylogarithmically in N or at least as a fractional power of N. We will illustrate a new proof of this that uses graph-theoretic tools. To do this we introduce the notion of a cycle arborescence and its height and we will explain where this height shows up in the asymptotic formula for both cases.

Progress on Chinburg's conjectures in Mahler measure theory [25]

Posted in

Talk [4]

Speaker:

Mahya Mehrabdollahei

Affiliation:

Göttingen

Date:

Fri, 20/06/2025 - 11:50 - 12:20

Location:

MPIM Seminar Room [20]

Parent event:

PLeaSANT (Participative Learning Seminar on Any Number Theory) [14]

I present new evidence for Chinburg’s conjectures in Mahler measure theory. These conjectures predict that for each odd quadratic Dirichlet character $\chi_{-f}$ of conductor $f$, there exists a bivariate polynomial (or a rational function, in the weak form) whose Mahler measure is a rational multiple of $L'(\chi_{-f}, -1)$. Before our work, the conjecture was verified for only 18 conductors.I will highlight results from two collaborations. In joint work with M.J. Bertin, we study a family of polynomials $P_d(x, y)$ with remarkable properties.

Read more [25]