Cédric Pépin (Université Paris 13)
Title: On the Verschiebung of the stack of Higgs bundles
Abstract:
Let C be a smooth projective curve over an algebraically closed field k of positive characteristic. Let F be the Frobenius endomorphism of C/k. We study the pull-back by F of Higgs vector bundles on C. Specifically, we show that this pull-back operation (called the Verschiebung) on the stack of Higgs bundles has finite fibers, at least over the locus of generically semisimple characteristics. This is joint work with Niels Borne.
Villa Battelle, Wednesday 31st October, 14:30