Title: The geometry of p-adic period domains
Speaker: David Hansen
Speaker Info: Columbia University
Brief Description:
Special Note:
Abstract:
The rigid generic fiber of a Rapoport-Zink space admits a remarkable etale map to a rigid analytic flag variety; this is the so-called Grothendieck-Messing period map. Studying the geometry of this map and its image - the "admissible locus" - is a difficult problem, and our knowledge is poor outside of a few special cases. I'll describe some recent progress on understanding these maps; in particular, I'll explain some ideas for getting to grips with the *complement* of the admissible locus. We'll look in detail at the Rapoport-Zink space associated with the isoclinic p-divisible group over F_pbar of dimension 3 and height 7; here the relevant flag variety is 12-dimensional, and I'll try to convince you that the inadmissible locus is 5-dimensional and naturally stratified into six disjoint strata. This is joint work with Jared Weinstein.Date: Monday, October 03, 2016