Math @ Duke

Publications [#341875] of Jayce R. Getz
Papers Published
 Getz, JR; Liu, B, A summation formula for triples of quadratic spaces,
Advances in Mathematics, vol. 347
(April, 2019),
pp. 150191 [doi]
(last updated on 2021/05/13)
Abstract: Let V ,V ,V be a triple of even dimensional vector spaces over a number field F equipped with nondegenerate quadratic forms Q ,Q ,Q , respectively. Let Y⊂∏i=1V be the closed subscheme consisting of (v ,v ,v ) on which Q (v )=Q (v )=Q (v ). Motivated by conjectures of Braverman and Kazhdan and related work of Lafforgue, Ngô and Sakellaridis we prove an analogue of the Poisson summation formula for certain functions on this space. 1 2 3 1 2 3 i 1 2 3 1 1 2 2 3 3


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