5 papers
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…
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…
The MVW involution of the metaplectic group
Shuichiro Takeda, Justin Trias
The MVW involution -- named after Colette Moeglin, Marie-France Vignéras, and Jean-Loup Waldspurger -- is a fundamental dualizing involution in the representation theory of -ad…
The universal Harish-Chandra -function
Gil Moss, Justin Trias
Let be a nonarchimedean local field with residue field of cardinality , let be the -points of a connected reductive group defined over , let and be two par…
The -modular local theta correspondence
Justin Trias
We study the validity of the local theta correspondence over a non-archimedean local field in the context of modular representation theory \textit{i.e.} for representations with co…