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SUMMARY:Tensor product functoriality for self-dual GL(2) x GL(n) - Zachary
  Feng (University of Oxford)
DTSTART:20251125T143000Z
DTEND:20251125T153000Z
UID:TALK238000@talks.cam.ac.uk
CONTACT:Dmitri Whitmore
DESCRIPTION:A test case for the Langlands functoriality principle is the t
 ensor product lifting of automorphic representations of GL(m) and GL(n) to
  automorphic representations of GL(mn). This was proved for m=n=2 by Ramak
 rishnan (2000)\, for m=2 and n=3 by Kim-Shahidi (2002)\, and more recently
  progress for m=2 and arbitrary n by Arias-de-Reyna-Dieulefait (2022) when
  the GL(2) factor has level 1. I will discuss some new results in the case
  of GL(2) x GL(n)\, as well as some ideas for how to go further for m>2.
LOCATION:MR13
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