Number Theory

Title: The Shafarevich Conjecture for Hypersurfaces in Abelian Varieties
Speaker: Will Sawin
Speaker Info: Columbia University
Brief Description:
Special Note:

Faltings proved the statement, previously conjectured by Shafarevich, that there are finitely many abelian varieties of dimension n, defined over a fixed number field, with good reduction outside a fixed finite set of primes, up to isomorphism. In joint work with Brian Lawrence, we prove an analogous finiteness statement for hypersurfaces in a fixed abelian variety with good reduction outside a finite set of primes. I will give a broad introduction to some of the ideas in the proof, which builds on p-adic Hodge theory techniques from work of Lawrence and Venkatesh as well as a little-known field of algebraic geometry.
Date: Thursday, June 04, 2020
Time: 2:00PM
Where: Contact organizer
Contact Person: Bao Le Hung
Contact email: lhvietbao@math.northwestern.edu
Contact Phone:
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