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SUMMARY:Kiran Kedlaya (UC San Diego)
DTSTART:20220415T190000Z
DTEND:20220415T200000Z
DTSTAMP:20260407T230919Z
UID:agstanford/84
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/8
 4/">Angle ranks of abelian varieties</a>\nby Kiran Kedlaya (UC San Diego) 
 as part of Stanford algebraic geometry seminar\n\n\nAbstract\nThe angle ra
 nk of an abelian variety over a finite field (or a CM abelian variety over
  C) quantifies the extent to which the Tate conjecture (or the Hodge conje
 cture) holds "for trivial reasons"\; cases where this does not happen tend
  to be rare in practice. Picking up a thread from some old (1980s and 1990
 s) results of Tankeev and Lenstra-Zarhin\, we show that in many cases\, th
 e Tate conjecture is forced to hold by the Newton polygon of the abelian v
 ariety or the Galois group of the Frobenius eigenvalues. Joint work with T
 aylor Dupuy and David Zureick-Brown.\n\nThe synchronous discussion for Kir
 an Kedlaya’s talk is taking place not in zoom-chat\, but at https://tiny
 url.com/2022-04-15-kk (and will be deleted after ~3-7 days).\n
LOCATION:https://researchseminars.org/talk/agstanford/84/
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