A Conference in Arithmetic Algebraic Geometry in Memory of Jan Nekovář

On Geometric Construction of Artin Representation

10 oct. 2023, 10:00

1h

Centre de conférences Marilyn et James Simons (Le Bois-Marie)

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.

Documents de présentation

Vidéo