Konstantin Ardako - Equivariant D- modules on rigid analytic spaces
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2015-01-30

Séminaire Paris Pékin Tokyo / Mercredi 17 décembre 2014

Abstract : Given a curve over a dvr of mixed characteristic 0-p with smooth generic fiber and with semistable reduction, I will present a criterion for good reduction in terms of the (unipotent) p-adic étale fundamental group of its generic fiber.

Locally analytic representations of p-adic Lie groups are of interest in several branches of arithmetic algebraic geometry, notably the p-adic local Langlands program. I will discuss some work in progress towards a Beilinson-Bernstein style localisation theorem for admissible locally analytic representations of semisimple compact p-adic Lie groups using equivariant formal models of rigid analytic flag varieties.