FB 6 Mathematik/Informatik

Institut für Mathematik


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WS 2022/23

02.11.2022 um 16:15 Uhr in Raum 69/125    

Dr. Giulia Codenotti (Freie Universität Berlin)

Flatness Theoreme: Werkzeuge, Schranken und exakte Werte

This is an Osnabrücker Maryam Mirzakhani Lecture

09.11.2022 um 17:15 Uhr in Raum 69/125 

Dr. Charanya Ravi (MPIM Bonn)

Cohomology of algebraic stacks

16.11.2022 um 17:15 Uhr in Raum 69/125 

Prof. Dr. Lukas Kühne (Universität Bielefeld)

Matroids, Algebra, and Entropy

A matroid is a combinatorial object based on an abstraction of linear independence in vector spaces and forests
in graphs. This talk connects matroid theory with algebra via the so-called von Staudt constructions. These are
combinatorial gadgets to encode polynomials in matroids.

I will discuss generalized matroid representations as arrangements over division rings, subspace arrangements
and as entropy functions together with their relation to group theory.

As an application this yields a proof that the conditional independence implication problem from information
theory is undecidable. 

Based on joint work with Rudi Pendavingh and Geva Yashfe.

23.11.2022 um 17:15 Uhr in Raum 69/125 

Prof. Dr. Anna Gusakova (WWU Münster)

Random Simplicial Tessellations: Geometry of the Typical Cell

Abstract

30.11.2022 um 17:15 Uhr in Raum 69/125 

Prof. David Gepner, Ph.D. (Johns Hopkins University, Baltimore, USA)

TBA

14.12.2022 um 17:15 Uhr in Raum 69/125    

Prof. Dr. Gitta Kutyniok (LMU München)

The Mathematics of Artificial Intelligence

Artificial intelligence is currently leading to one breakthrough
after the other, both in public life with, for instance, autonomous
driving and speech recognition, and in the sciences in areas such
as medical diagnostics or molecular dynamics. A similarly strong
impact can currently be witnessed within mathematics on areas such
as inverse problems and numerical analysis of partial differential
equations.

The goal of this lecture is to first provide an introduction into
this new vibrant research area. We will then survey recent advances
in two directions, namely the development of a mathematical
foundation of artificial intelligence and the introduction of
according novel approaches to solve inverse problems and partial
differential equations. We will also discuss fundamental
limitations of such methodologies, in particular, in terms of
computability

18.01.2023 um 17:15 Uhr in Raum 69/125 

Prof. Dr. Peter Eichelsbacher (Ruhr-Universität Bochum)

On Stein’s Method and on Tikhomirov’s Method

01.02.2023 um 16:15 Uhr in Raum 69/125 

Prof. Dr. Stefanie Sonner (Radboud University Nijmegen)

Degenerierte Diffusionsgleichungen mit Anwendungen in der Modellierung von Biofilmen

This is an Osnabrücker Maryam Mirzakhani Lecture