The representation of Weil over the similitudes groups and base change
type: Distribution
access URL: https://theses.hal.science/tel-00759639
format: HTML
issued: 2026-06-02T23:59:59.559628
modified: 2026-06-02T23:59:59.500726

The representation of Weil over the similitudes groups and base change
type: Dataset
contact point: Organization
  fn: CCSD
keyword: weil-representation
keyword: base-change
keyword: representation-de-weil
keyword: correspondance-de-howe
keyword: howe-correspondance
keyword: similitude-group
keyword: changement-de-base
keyword: theses
keyword: groupe-de-similitudes
keyword: infoeu-reposemanticsdoctoralthesis
keyword: mathmath-gmmathematics-mathgeneral-mathematics-mathgm
landing page: https://theses.hal.science/tel-00759639
description: This present thesis is working on the Weil representation. It consists of three parts. In chapter 2 and chapter 3, we generalize the Howe correspondance for the similitudes groupes over the non archimedien field with odd residual characteristic. In chapter 4 and chapter 5, we answer one question, raised by V. Drinfeld, about the restriction of the Weil representation of the group GSp8(F) to GL2(A) where A is an étale algebra over a non archimedien field or a finite field F. On the other hand, in the chapter 5, we prove that in finite field case, the Weil representations are invariant under the operator of base change in the sens of Shintani-lifting.
identifier: NNT: 2012PA112110
issued: 2026-06-02T23:59:59.544473
language: fr
modified: 2026-06-02T23:59:59.544478

test_moissonnage_selune
type: Agent