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SUMMARY:Xiaoyu Zhang (Universität Duisburg-Essen)
DTSTART:20210520T083000Z
DTEND:20210520T093000Z
DTSTAMP:20260423T022732Z
UID:RSVP/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RSVP/6/">p-p
 art Bloch-Kato conjecture for Siegel modular forms of genus 2</a>\nby Xiao
 yu Zhang (Universität Duisburg-Essen) as part of Rendez-vous on special v
 alues and periods\n\n\nAbstract\nThe Bloch-Kato conjecture relates the alg
 ebraic part of special $L$-values to the Selmer groups of the same motive.
  \nIn this talk\, we study the $p$-part of this conjecture for a Siegel mo
 dular form of genus $2$ and show\, under mild conditions on the associated
  Galois representation\, that the special value of the standard $L$-functi
 on divided by an automorphic period is equal to the characteristic ideal o
 f the corresponding Selmer group\, up to $p$-units. \nThe proof relies on 
 some non-vanishing results of mod $p$ theta lifts from the orthogonal grou
 p to the symplectic group.\n
LOCATION:https://researchseminars.org/talk/RSVP/6/
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