Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar zur Algebra und Zahlentheorie

 

Sergei Iakovenko
Universität Regensburg

 
spricht am
 
Donnerstag, 5. Mai 2022
 
um
 
12:15 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Representations of the Kottwitz gerbes«

Abstract:
I am going to introduce the Kottwitz gerbes which are geometric objects defined over local and global fields. Their categories of representations are Tannakian categories that provide beautiful links between classical duality theorems of class field theory and well-known categories of isocrystals over local fields and the category of Drinfeld isoshtukas over global function fields. Although the case of number fields remains quite mysterious, several partial results about the structure of Rep(Kt_\mathbb{Q)} will be explained. Moreover, I will present a piece of evidence to Scholze's conjecture on the existence of a universal Weil cohomology theory for varieties over \bar{F}_p taking values in Rep(Kt_\mathbb{Q}).

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Maxim Smirnov



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