'p-adic symmetric spaces'

by Prof. Laurent Fargues (Institut de Mathematiques de Jussieu, France)

Thursday, December 21, 2017 from 16:00 to 17:00 (Asia/Kolkata)
at TIFR, Mumbai ( AG 69 )

Description

Abstract:
In his ICM talk in Nice in 70 Grothendieck asked what is the image of the
p-adic analog of Griffith's period mapping as a subset of a flag variety?
We now can give an answer by interpreting those period mappings in terms
of modifications of vector bundles on the curve (a p-adic analog of
Simpson's Twistor structures).
I will explain a recent result obtained jointly with Miaofen Chen and Xu
Shen that allows us to compute those period spaces in some particular
cases. For example
we can compute the p-adic period space for polarized K3 surfaces with
supersingular reduction.

Material:

document