News & Events

Other Rutgers University Seminars of Interest

Seminars & Colloquia Calendar

Download as iCal file

Number Theory Seminar

On Triple product L-functions

Miao (Pam) Gu

Location:  HLL 525
Date & time: Tuesday, 14 October 2025 at 2:00PM - 3:00PM

Abstract: The Poisson summation conjecture of Braverman-Kazhdan, L. Lafforgue, Ngo and Sakellaridis is an ambitious proposal to prove analytic properties of quite general Langlands L-functions using vast generalizations of the Poisson summation formula. In this talk, we introduce multivariable zeta integrals which unfold to Euler product representing the triple product L-functions times a product of L-functions with known analytic properties. We then formulate a generalization of the Poisson summation conjecture and show it implies the expected analytic properties of triple product L-functions. Finally, we propose a strategy, the fiber bundle method, to reduce this generalized conjecture to a case of the Poisson summation conjecture in which spectral methods can be employed together with certain local compatibility statements. This is joint work with Jayce Getz, Chun-Hsien Hsu, and Spencer Leslie. 

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.