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SUMMARY:Sarah Zerbes (UCL)
DTSTART:20201023T143000Z
DTEND:20201023T160000Z
DTSTAMP:20260423T004637Z
UID:CAFAS/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAFAS/7/">Th
 e Bloch—Kato conjecture for GSp(4)</a>\nby Sarah Zerbes (UCL) as part of
  Columbia Automorphic Forms and Arithmetic Seminar\n\n\nAbstract\nIn my ta
 lk\, I will sketch a proof of new cases of the Bloch—Kato conjecture for
  the spin Galois representation attached to genus 2 Siegel modular forms. 
 More precisely\, I will show that if the L-function is non-vanishing at so
 me critical value\, then the corresponding Selmer group is zero\, assuming
  a number of technical hypotheses. I will also mention work in progress on
  extending this result to Siegel modular forms of parallel weight 2\, with
  potential applications to the Birch—Swinnerton-Dyer conjecture for abel
 ian surfaces. This is joint work with David Loeffler.\n
LOCATION:https://researchseminars.org/talk/CAFAS/7/
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