BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Will Sawin (Columbia)
DTSTART:20201005T230000Z
DTEND:20201005T235000Z
DTSTAMP:20260423T041613Z
UID:UCLA_NTS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCLA_NTS/10/
 ">The Shafarevich Conjecture for Hypersurfaces in Abelian Varieties</a>\nb
 y Will Sawin (Columbia) as part of UCLA Number Theory Seminar\n\n\nAbstrac
 t\nFaltings 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 se
 t of primes\, up to isomorphism. In joint work with Brian Lawrence\, we pr
 ove an analogous finiteness statement for hypersurfaces in a fixed abelian
 \nvariety 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 wel
 l as a little-known field of algebraic \ngeometry.\n
LOCATION:https://researchseminars.org/talk/UCLA_NTS/10/
END:VEVENT
END:VCALENDAR