School of Mathematics Colloquium
'p-adic symmetric spaces'
by Prof. Laurent Fargues (Institut de Mathematiques de Jussieu, France)
Thursday, December 21, 2017
from
to
(Asia/Kolkata)
at TIFR, Mumbai ( AG 69 )
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. |
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