Kolloquium FB10 und Sondervorträge

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Anke Pietsch

Prof. Dr. Ruth Charney (Brandeis University, USA)Colloquium: Exploring the Mysteries of Artin groups

Wednesday, 25.09.2024 14:30 im Raum M3

Mathematik und Informatik

Coxeter groups arise in many areas of mathematics including topology, algebraic geometry, representation theory, and combinatorics. They are much studied and generally well-understood. Closely related to Coxeter groups are a class of groups known as Artin groups. The best known examples of these groups are the braid groups. While easy to define, Artin groups are much more mysterious than Coxeter groups with many key properties unknown and basic questions unanswered. In this talk, I will introduce Artin groups, discuss some of the open problems, and survey some recent work, using both combinatorial and geometric methods, to approach these problems.



Angelegt am 17.09.2024 von Anke Pietsch
Geändert am 18.09.2024 von Anke Pietsch
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Kolloquium FB10 und Sondervorträge
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Claudia Lückert

17. John von Neumann Lecture: Prof. Dr. Lisa Sauermann (Universität Bonn): On three-term progression-free sets and related questions in additive combinatorics

Thursday, 17.10.2024 16:15 im Raum M4

Mathematik und Informatik

Given some large positive integer N, what is the largest possible size of a subset of {1,...,N} which does not contain a three-term arithmetic progression (i.e. without three distinct elements x,y,z satisfying x+z=2y)? Similarly, given a prime p and a large positive integer n, what is the largest possible size of a subset of the vector space F_p^n which does not contain a three-term arithmetic progression (i..e without three distinct vectors x,y,z satisfying x+z=2y)? These are long-standing problems in additive combinatorics. This talk will explain the known bounds for these problems, give an overview of some of the proof techniques, and discuss additional applications of these techniques to other additive combinatorics problems.



Angelegt am 21.08.2024 von Claudia Lückert
Geändert am 04.09.2024 von Carolin Gietz
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Konferenzen+Kolloquien
Kolloquium Wilhelm Killing
Kolloquium FB10 und Sondervorträge
Mathematics Münster
John von Neumann-Lecture
Veranstaltungen am Mathematischen Institut