EVENT DETAILS AND ABSTRACT

Title: Summation formulae for triples of quadratic forms
Speaker: Jayce Getz
Speaker Info: Duke University
Brief Description:
Special Note:
Abstract:

Braverman and Kazhdan have conjectured the existence of summation formulae that are essentially equivalent to the analytic continuation and functional equation of Langlands L-functions in great generality. Motivated by their conjectures and related conjectures of L. Lafforgue, Ngo, and Sakellaridis, Baiying Liu and I have proven a summation formula analogous to the Poisson summation formula for the subscheme cut out of three quadratic spaces (V_i,Q_i) of even dimension by the equation Q_1(V_1)=Q_2(V_2)=Q_3(V_3). I will sketch the proof of this formula.