9–13 oct. 2023
Le Bois-Marie
Fuseau horaire Europe/Paris

On Geometric Construction of Artin Representation

10 oct. 2023, 10:00
1h
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Prof. Tomoyuki ABE (IPMU - University of Tokyo)

Description

A be a regular local ring whose residue field is of characteristic $p$. Let $G$ be a finite group which acts on $A$. Under certain condition, Serre defined an integer-valued function on $G$, and conjectured that the function is the character of a $Q_l$-rational representation of $G$. We discuss this conjecture in the equal characteristic situation.

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