Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar zur Algebra und Zahlentheorie

 

Dr. Irakli Patchkoria
University of Aberdeen
 
spricht am
 
Dienstag, 23. Februar 2021
 
um
 
14:15 Uhr
 
im
 
per Zoom
 
über das Thema:
 

»On the de Rham-Witt complex of perfectoid rings «

Abstract:
Perfectoid rings are generalizations of perfect F_p-algebras and have a well-behaved cotangent complex. An example of a perfectoid ring is O_C, the ring of integers of the field of p-adic complex numbers C. This talk will concern the algebraic K-theory of perfectoid rings and will generalize Hesselholt's construction of the divided Bott class for O_C which lives in the target of certain trace map on algebraic K_2. Our construction of the divided Bott element in purely algebraic and uses only calculations in the de Rham-Witt complex. We will try to introduce and motivate the main players in this talk and make it available for general audience. The talk will be quite algebraic. This is all joint with Christopher Davis.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Maxim Smirnov


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