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Tensor product functoriality for self-dual GL(2) x GL(n)

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  • UserZachary Feng (University of Oxford)
  • ClockTuesday 25 November 2025, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact Dmitri Whitmore .

A test case for the Langlands functoriality principle is the tensor 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 Ramakrishnan (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.

This talk is part of the Number Theory Seminar series.

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