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Joint IAS/Princeton University Number Theory Seminar

Local aspects of Venkatesh's thesis.

The thesis of Akshay Venkatesh obtains a Beyond Endoscopy'' proof of stable functorial transfer from tori to ${\rm SL}(2)$, by means of the Kuznetsov formula. In this talk, I will show that there is a local statement that underlies this work; namely, there is a local transfer operator taking orbital measures for the Kuznetsov formula to test measures on the torus. The global comparison of trace formulas is then obtained as a Poisson summation formula for this transfer operator.

Featuring

Yiannis Sakellaridis

Speaker Affiliation

Rutgers University

Affiliation

Mathematics

Event Series

Video

https://video.ias.edu/puias/2019/0314-YiannisSakellaridis
Date & Time
March 14, 2019 | 4:305:30pm

Location

Simonyi Hall 101

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