Automorphic-twisted summation formulae for pairs of quadratic spaces

Tue Mar 29, 2022 4:30 p.m.—5:30 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Algebra and Number Theory Seminar

Event time: 
Tuesday, March 29, 2022 - 4:30pm

Speaker: 
Miao (Pam) Gu

Speaker affiliation: 
Duke University

Event description: 
Motivated by the conjectures of Braverman-Kazhdan, Lafforgue, Ngˆo and Sakellaridis, we prove a summation formula for certain spaces of test functions on the zero locus of a quadratic form. The functions are built from the Whittaker coefficients of automorphic representations. 

Research area(s): 
Algebraic Geometry 
Number Theory
Representation Theory