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SUMMARY:Zhilin Luo (University of Minnesota)
DTSTART:20210310T213000Z
DTEND:20210310T223000Z
DTSTAMP:20260423T052332Z
UID:MITLie/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/23/">
 Harmonic analysis and gamma functions on symplectic group</a>\nby Zhilin L
 uo (University of Minnesota) as part of MIT Lie groups seminar\n\nLecture 
 held in 2-142.\n\nAbstract\nWe develop a new type of harmonic analysis on 
 an extended symplectic group $G=\\BG_m\\times \\Sp_2n$ over $p$-adic field
 s. It is associated with the Langlands $\\gamma$-functions attached to irr
 educible admissible representations of $G(F)$ and the standard representat
 ion of the dual group. Our work can be viewed as an extension of the work 
 of Godement-Jacquet (which is a generalization of Tate's thesis). We confi
 rm a series of conjectures in the local theory of the Braverman-Kazhdan pr
 oposal in this setting. This is a joint work with D. Jiang and L. Zhang.\n
LOCATION:https://researchseminars.org/talk/MITLie/23/
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