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Number Theory Seminar

Thursday, April 4, 2024
5:00pm to 6:00pm
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Linde Hall 387
Product of Rankin-Selberg convolutions and applications
Pan Yan, Department of Mathematics, University of Arizona,

In this talk, I will introduce a family of integrals which represent the product of Rankin-Selberg L-functions of GL(l)xGL(m) and of GL(l)xGL(n) where m+n<l. When n=0, these integrals are those defined by Jacquet--Piatetski-Shapiro--Shalika up to a shift. As an application, we obtain a new proof of Jacquet's local converse conjecture using these new integrals and Cogdell--Shahidi--Tsai's theory on partial Bessel functions. This is joint work with Qing Zhang.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].