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.