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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
Details: 
Program and Abstracts of Oberseminar Arithmetic Geometry and Representation Theory

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

The homotopy fixed point spectral sequence

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Speaker: 
David Aretz
Affiliation: 
MPIM/Universität Bonn
Date: 
Fri, 02/05/2025 - 10:15 - 11:45
Location: 
MPIM Lecture Hall
Parent event: 
IMPRS seminar on various topics: Spectral Sequences

Habiro Cohomology

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Speaker: 
Peter Scholze
Affiliation: 
MPIM
Date: 
Fri, 02/05/2025 - 12:00 - 13:30
Location: 
MPIM Lecture Hall
Parent event: 
Vorlesung Selected Topics in Algebraic Geometry: Habiro Cohomology

WIQI topology seminar

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Date: 
Fri, 02/05/2025 - 12:45 - 14:30
Location: 
MPIM Seminar Room
Parent event: 
WIQI topology seminar

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

The p-adic monodromy theorem

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Speaker: 
Juan Esteban Rodríguez Camargo
Affiliation: 
MPIM
Date: 
Fri, 02/05/2025 - 14:05 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Arithmetic Geometry and Representation Theory

In this talk I will discuss a new proof of the p-adic monodromy theorem in p-adic Hodge theory using the theory of diamonds and Analytic Geometry à la Clausen and Scholze. This new perspective does not use explicitly  the classical theory of p-adic differential equations but the geometric aspects of Fargues-Fontaine curves and properties of the Fargues-Fontaine de Rham stack. If time permits I will mention the relation of this theory with Hyodo-Kato cohomology. 

Arithmetic counting and zeta functions - a panorama

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Speaker: 
Valentin Blomer
Affiliation: 
University of Bonn
Date: 
Mon, 05/05/2025 - 10:00 - 11:00
Location: 
MPIM Lecture Hall
Parent event: 
Conference on "Asymptotic Counting and L-Functions"

I present a variety of examples on the interplay of number theoretic counting problems and analytic properties of zeta functions. I take a closer look at the representation zeta function of SL(3, Z) and show how to obtain analytic continuation and a natural boundary for this function.

 

(ARGOS Seminar, Endenicher Allee 60) Equivariant sheaves on partial flag varieties

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Speaker: 
Lambert A'Campo
Affiliation: 
MPIM
Date: 
Mon, 05/05/2025 - 14:15 - 16:00
Location: 
Center for Mathematics Bonn
Parent event: 
ARGOS (Arithmetische Geometrie Oberseminar)

LOCATION: Seminarraum 1.007, Endenicher Allee 60, Center for Mathematics, University of Bonn

 

Vanishing of primitive root densities

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Speaker: 
Peter Stevenhagen
Affiliation: 
Leiden University
Date: 
Mon, 05/05/2025 - 14:30 - 14:55
Location: 
MPIM Lecture Hall
Parent event: 
Conference on "Asymptotic Counting and L-Functions"

 

The multiplication table constant and sums of two squares 

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Speaker: 
Alisa Sedunova
Affiliation: 
Purdue University
Date: 
Mon, 05/05/2025 - 15:00 - 15:25
Location: 
MPIM Lecture Hall
Parent event: 
Conference on "Asymptotic Counting and L-Functions"

Let $r_1(n)$ be the number of representations of n as the sum of a square and a square of a prime. We discuss the erratic behavior of $r_1$, which is similar to the one of the divisor function. We will show that the number of integers up to x that have at least one such representation is asymptotic to $(\pi/2) x / \log x$ minus a secondary term of size $x/(\log x)^{1+d+o(1)}$, where $d$ is the multiplication table constant. Detailed heuristics suggest very precise asymptotic for the secondary term as well.

Asymptotic Counting of RSA Integers

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Speaker: 
Sumaia Saad Eddin
Affiliation: 
Austrian Academy of Science
Date: 
Mon, 05/05/2025 - 15:30 - 15:55
Location: 
MPIM Lecture Hall
Parent event: 
Conference on "Asymptotic Counting and L-Functions"

A few years ago, Pieter and I studied integers that can be expressed as the product of two constrained prime numbers, commonly known as RSA integers due to their relevance in cryptography. Our work focused on examining the asymptotic distribution of RSA integers and investigating earlier observations by Dummit, Granville, and Kisilevsky on the distribution of integers in arithmetic progressions, applied specifically to RSA integers.

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