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SUMMARY:Jacob Tsimerman (University of Toronto)
DTSTART:20221111T200000Z
DTEND:20221111T210000Z
DTSTAMP:20260407T214858Z
UID:agstanford/97
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/9
 7/">Abelian Varieties not Isogenous to Jacobians</a>\nby Jacob Tsimerman (
 University of Toronto) as part of Stanford algebraic geometry seminar\n\nL
 ecture held in Room 383-N.\n\nAbstract\nKatz and Oort raised the following
  question: Given an algebraically closed field k\, and a positive integer 
 g>3\, does there exist an abelian variety over k not isogenous to a Jacobi
 an over k? There has been much progress on this question\, with several pr
 oofs now existing over $\\overline{\\mathbb{Q}}$. We discuss recent work w
 ith Ananth Shankar\, answering this question in the affirmative over $\\ov
 erline{\\mathbb{F}_q(T)}$. Our method introduces new types of local obstru
 ctions\, and can be used to give another proof over $\\overline{\\mathbb{Q
 }}$.\n
LOCATION:https://researchseminars.org/talk/agstanford/97/
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