Date:
Thu, 14/01/201612:00-13:15
Location:
Manchester Building (room 209), Jerusalem, Israel
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.
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.