Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Augsburger Mathematisches Kolloquium

 

Professor Dr. Wolfgang Lück
Universität Bonn

 
spricht am
 
Dienstag, 6. Dezember 2022
 
um
 
17:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»The Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups«

Abstract:

We formulate and sketch the proof of the K-theoretic Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups. This is the first time that a version of the farrell-Jones Conjecture for topological groups is formulated. It implies that the reductive projective class group of the Hecke algebra of a reductive p-adic group is the colimit of these for all compact open subgroups. This has been proved rationally by Bernstein and Dat using representation theory. The main applications of our result will concern the theory of smooth representations In particular we will prove a conjecture of Dat.

Most of the talk will be devoted to an introduction to the Farrell-Jones Conjecture and the theory of smooth representations of reductive p-adic groups, and discussion of applications.

This is a joint project with Arthur Bartels.


 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Maxim Smirnov
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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