Title: Holomorphic differentials in positive characteristic Abstract: This talk is about joint work with Ted Chinburg and Aristides Kontogeorgis. Let X be a smooth projective curve over an algebraically closed field k of positive characteristic p. Suppose G is a finite group with non-trivial cyclic Sylow p-subgroups acting faithfully on X. In this talk, I will describe how to determine the kG-module structure of the module H^0(X,\Omega^1_X) of holomorphic differentials of X. This combines an analysis of the radical filtration of the sheaf of differentials with a result of Conlon from characteristic p representation theory.
Thu, 14/01/2016 - 12:00 to 13:15
Manchester Building (room 209), Jerusalem, Israel