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

Oberseminar Arithmetic Geometry and Representation Theory

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Organiser(s): 
Prof. Dr. J. Fintzen, Prof. Dr. T. Kaletha, Prof. Dr. P. Scholze
Datum: 
Fre, 11/10/2024 - 14:05 - Fre, 19/12/2025 - 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

Eichler-Shimura theory

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Speaker: 
Jelena Ivancic
Zugehörigkeit: 
MPIM/Universität Bonn
Datum: 
Mon, 16/06/2025 - 14:00 - 16:00
Location: 
Center for Mathematics Bonn
Parent event: 
ARGOS (Arithmetische Geometrie Oberseminar)

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?

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Speaker: 
Katrin Wehrheim
Zugehörigkeit: 
UC Berkeley/MPIM
Datum: 
Mon, 16/06/2025 - 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar
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.

The elliptic gamma function

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Speaker: 
Wadim Zudilin
Zugehörigkeit: 
Radboud University Nijmegen/MPIM
Datum: 
Mon, 16/06/2025 - 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
PLeaSANT (Participative Learning Seminar on Any Number Theory)

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.

tba

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Speaker: 
Robert Schneiderman
Zugehörigkeit: 
Lehman College CUNY
Datum: 
Die, 17/06/2025 - 11:00 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Low-dimensional topology seminar

Counting special points on quadratic surfaces

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Speaker: 
Saurabh Singh
Zugehörigkeit: 
Indian Institute of Technology Kanpur/MPIM
Datum: 
Mit, 18/06/2025 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

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

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Speaker: 
Luuk Stehouwer
Zugehörigkeit: 
Dalhousie University
Datum: 
Mit, 18/06/2025 - 16:30 - 17:30
Location: 
MPIM Seminar Room
Parent event: 
Abstract Homotopy Theory Seminar

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.

Beilinson-Bernstein localization via examples

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Speaker: 
Daniel Bermudez
Zugehörigkeit: 
MPIM/Universität Bonn
Datum: 
Fre, 20/06/2025 - 10:15 - 11:45
Location: 
MPIM Lecture Hall
Parent event: 
IMPRS seminar on various topics: D-modules

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

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Speaker: 
Mieke Wessel
Zugehörigkeit: 
Göttingen
Datum: 
Fre, 20/06/2025 - 11:15 - 11:45
Location: 
MPIM Seminar Room
Parent event: 
PLeaSANT (Participative Learning Seminar on Any Number Theory)

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

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Speaker: 
Mahya Mehrabdollahei
Zugehörigkeit: 
Göttingen
Datum: 
Fre, 20/06/2025 - 11:50 - 12:20
Location: 
MPIM Seminar Room
Parent event: 
PLeaSANT (Participative Learning Seminar on Any Number Theory)

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.

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