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SUMMARY:Zhilin Luo
DTSTART:20200529T163000Z
DTEND:20200529T165000Z
DTSTAMP:20260417T131016Z
UID:CARTOON/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CARTOON/6/">
 On the stable transfer for $\\textrm{Sym}^n$ lifting of $\\textrm{GL}_2$: 
 Archimedean case</a>\nby Zhilin Luo as part of Cross Atlantic Representati
 on Theory and Other topics ONline (CARTOON) conference\n\n\nAbstract\nFoll
 owing the paradigm of R. Langlands\, we are going to explore the the stabl
 e transfer factors for $\\textnormal{Sym}^{n}$ lifting from $\\textnormal{
 GL}_{2}$ to $\\textnormal{GL}_{n+1}$. We give a complete answer for temper
 ed principal series over any local fields of characteristic zero\, which i
 n particular resolve the case over complex field. Over real field\, when $
 n$ is odd\, we provide a reduction formula\, reducing the construction of 
 the stable transfer factors to diagonal embedding of $\\textnormal{GL}_{2}
 $ to finitely many copies of $\\textnormal{GL}_{2}$. There are also partia
 l results over $p$-adic fields.\n\nThis is a joint work with D. Johnstone.
  Preprint available arXiv:2002.09551.\n
LOCATION:https://researchseminars.org/talk/CARTOON/6/
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