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SUMMARY:Chen Wan (Rutgers University – Newark)
DTSTART:20230112T210000Z
DTEND:20230112T220000Z
DTSTAMP:20260423T024755Z
UID:UAANTS/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/54/">
 Period integrals and multiplicities for some strongly tempered spherical v
 arieties</a>\nby Chen Wan (Rutgers University – Newark) as part of Unive
 rsity of Arizona Algebra and Number Theory Seminar\n\n\nAbstract\nIn this 
 talk I will discuss the local and global conjectures for some strongly tem
 pered spherical varieties. Both conjectures are very similar to the Gan-Gr
 oss-Prasad models. More specifically\, globally the square of the period i
 ntegrals should be related to the central value of some L-functions of sym
 plectic type. Locally each tempered L-packet should contain a unique disti
 nguished element with multiplicity one and the unique distinguished elemen
 t should be determined by certain epsilon factors (i.e. epsilon dichotomy)
 . I will also discuss the proof of the local conjecture in many cases. Thi
 s is a joint work with Lei Zhang.\n
LOCATION:https://researchseminars.org/talk/UAANTS/54/
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