P-adic Hodge Theory - Part 1

Speaker


Peter Scholze (Bonn)
Date
Thu November 29th 2012, 4:15pm
Event Sponsor
Mathematics Research Center
Location
Building 380, Room 380W
MRC Event Series

We will discuss p-adic analogues of several classical theorems in complex Hodge theory, such as the Hodge decomposition, the Hodge-to-de Rham degeneration, the Riemann-Hilbert correspondence, and the classification of complex abelian varieties.
In as much as complex Hodge theory works for general compact Kähler manifolds, we discuss a theory that works for “compact analytic manifolds” over p-adic fields; still, some of our theorems are new even for algebraic varieties.