by
Prof.Laurent Fargues(Institut de Mathematiques de Jussieu, France)
→
Asia/Kolkata
AG 69 (TIFR, Mumbai)
AG 69
TIFR, Mumbai
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.