Geometrization of summation formulae for quadrics
arXiv:2606.01491
Abstract
We geometrize the Poisson summation formula for the zero locus of a split quadratic form in an even number of variables over number fields. We do so by making explicit the relationship between Schwartz spaces on quadrics defined in two different ways: via Braverman-Kazhdan spaces and via theta lifts.
arXiv comment33 pages. Comments welcome