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SUMMARY:Peter Wear (Utah)
DTSTART:20201008T160000Z
DTEND:20201008T172000Z
DTSTAMP:20260423T035820Z
UID:RAMpAGe/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RAMpAGe/15/"
 >Perfectoid covers of abelian varieties and the weight-monodromy conjectur
 e</a>\nby Peter Wear (Utah) as part of Recent Advances in Modern p-Adic Ge
 ometry (RAMpAGe)\n\n\nAbstract\nDeligne's weight-monodromy conjecture give
 s control over the zeros of local factors of L-functions of varieties at p
 laces of bad reduction. His proof in characteristic p was a step in his pr
 oof of the generalized Weil conjectures. Scholze developed the theory of p
 erfectoid spaces to transfer Deligne's proof to characteristic 0\, proving
  the conjecture for complete intersections in toric varieties. Building on
  Scholze's techniques\, we prove the weight-monodromy conjecture for compl
 ete intersections in abelian varieties. Part of this talk will discuss joi
 nt work with Blakestad\, Gvirtz\, Heuer\, Shchedrina\, Shimizu\, and Yao.\
 n
LOCATION:https://researchseminars.org/talk/RAMpAGe/15/
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