Descent Construction for GSpin Groups

Joseph Hundley, State University of New York at Buffalo, New York, USA.Eitan Sayag, Hebrew University of Jerusalem, Israel.

• IntroductionPart 1. General matters: Some notions related to Langlands functorialityNotationThe Spin groups $GSpin_{m}$ and their quasisplit forms``Unipotent periods''Part 2. Odd case: Notation and statementUnramified correspondenceEisenstein series I: Construction and main statementsDescent constructionAppendix I: Local results on Jacquet functorsAppendix II: Identities of unipotent periodsPart 3. Even case: Formulation of the main result in the even caseNotationUnramified correspondenceEisenstein seriesDescent constructionAppendix III: Preparations for the proof of Theorem 15.0.12Appendix IV: Proof of Theorem 15.0.12Appendix V: Auxiliary results used to prove Theorem 15.0.12Appendix VI: Local results on Jacquet functorsAppendix VII: Identities of unipotent periodsBibliography.