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SUMMARY:Cheng Chen (University of Minnesota)
DTSTART:20220601T113000Z
DTEND:20220601T123000Z
DTSTAMP:20260423T041337Z
UID:POINTS/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINTS/37/">
 The local Gross-Prasad conjecture over archimedean local fields</a>\nby Ch
 eng Chen (University of Minnesota) as part of POINTS - Peking Online Inter
 national Number Theory Seminar\n\n\nAbstract\nThe local Gross-Prasad conje
 cture is a refinement of the multiplicity one theorem for spherical pairs 
 of Bessel type defined by a pair of special orthogonal groups. The conject
 ure shows that there is exactly one representation having multiplicity equ
 al to one in each Vogan packet (with generic parameter) and it also depict
 s this unique representation with an epsilon character. I will introduce s
 ome recent progress for the conjecture over \\(\\mathbb{R}\\) and \\(\\mat
 hbb{C}\\)\, part of the work was joint with Z. Luo. This local conjecture 
 is a necessary ingredient for the global Gross-Prasad conjecture. Besides\
 , the codimension-one case of the conjecture is closely related to the bra
 nching problem for special orthogonal groups.\n\nZoom ID: 852 3108 0387\n\
 nZoom password: 625020\n
LOCATION:https://researchseminars.org/talk/POINTS/37/
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