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 2020/12/03)
Abstract: © 2019 Elsevier Inc. Let V 1 ,V 2 ,V 3 be a triple of even dimensional vector spaces over a number field F equipped with nondegenerate quadratic forms Q 1 ,Q 2 ,Q 3 , respectively. Let Y⊂∏i=1V i be the closed subscheme consisting of (v 1 ,v 2 ,v 3 ) on which Q 1 (v 1 )=Q 2 (v 2 )=Q 3 (v 3 ). 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.


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