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SUMMARY:Michael Harris (Columbia)
DTSTART:20220112T230000Z
DTEND:20220112T235000Z
DTSTAMP:20260423T022917Z
UID:UCLA_NTS/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCLA_NTS/42/
 ">L-functions and periods of automorphic forms</a>\nby Michael Harris (Col
 umbia) as part of UCLA Number Theory Seminar\n\n\nAbstract\nThis is a repo
 rt on recent work with Grobner and Lin on the critical values of\nRankin-S
 elberg L-functions of GL(n)xGL(n-1) over CM fields.   By reinterpreting th
 ese critical values in terms of automorphic periods of holomorphic automor
 phic forms on unitary groups\, we show that the automorphic periods of hol
 omorphic forms can be factored as products of coherent cohomological forms
 \, compatibly with a motivic factorization predicted by the Tate conjectur
 e. All of these results are conditional on a conjecture on non-vanishing o
 f twists of automorphic L-functions of GL(n) by anticyclotomic characters 
 of finite order\, and are stated under a certain regularity condition.\n
LOCATION:https://researchseminars.org/talk/UCLA_NTS/42/
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