Fundamental Groups in Arithmetic and Algebraic Geometry

Higgs sheaves in positive characteristic

speaker: Adrian Langer (University of Warsaw)

abstract: I plan to talk about Higgs sheaves on varieties in positive characteristic p that can be lifted modulo p^2. In particular, I will prove Bogomolov's inequality in this case. This has interesting applications to semistable Higgs sheaves with vanishing Chern classes. It is well known that in characteristic zero such Higgs sheaves correspond to representations of the fundamental group.

timetable:
Wed 18 Dec, 12:00 - 13:00, Aula Dini
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