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math.RT2026
On the rationality of the Weil Representation and the local theta correspondence
Justin Trias
We prove that the Weil representation over a non-archimedean local field can be realised with coefficients in a number field. We give an explicit descent argument to describe preci…
math.RT2026
Modular Weil representation and compatibility of cuspidals with congruences
Justin Trias
Let be a non-archimedean local field of characteristic different from and of residual characteristic . We generalise the theory of the Weil representation over with…