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SUMMARY:Xiaoyu Zhang (Universität Duisburg-Essen)
DTSTART:20210503T170000Z
DTEND:20210503T175000Z
DTSTAMP:20260423T041612Z
UID:UCLA_NTS/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCLA_NTS/31/
 ">CM points on compact orthogonal groups and theta lifts mod $p$</a>\nby X
 iaoyu Zhang (Universität Duisburg-Essen) as part of UCLA Number Theory Se
 minar\n\n\nAbstract\nCM points on Shimura varieties are very useful in the
  study of arithmetic properties of automorphic forms\, $L$-functions\, etc
 .. C. Cornut and V. Vatsal proved certain dynamical properties of these po
 ints on quaternions and then deduce Mazur's conjectures as well as study t
 he non-vanishing of Rankin-Selberg $L$-values. In this talk we try to foll
 ow the strategy of Cornut and Vatsal and generalise their result to certai
 n compact orthogonal groups and as an application\, we study the non-vanis
 hing problem of theta lifts mod $p$ from orthogonal group to symplectic gr
 oup.\n
LOCATION:https://researchseminars.org/talk/UCLA_NTS/31/
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