Algebraic Geometry Seminar
Sug Woo Shin
MIT
Non-emptiness of Newton strata
Abstract: A Newton stratum for Shimura varieties (certain moduli spaces of
abelian varieties with extra data in characteristic p) is the locus
where the p-divisible groups belong to a fixed isogeny class. In case
the moduli problem is defined by unitary or symplectic data (which are
unramified), Newton strata are known to be nonempty whenever expected
by Vasiu and Viehmann-Wedhorn based on earlier work by many, and also
recently by Kret. I will explain a different approach to prove the
result in the unramified case via Honda-Tate theory and Galois
cohomology.
Wednesday February 6, 2013 at 4:00 PM in SEO 427