Main Reference: [Cas] W. Casselman, Introduction to the Theory of Admissible
Representations of p-adic Reductive Groups, unpublished notes, 1 May 1995.
Other Reference: [Bu97] D. Bump, Automorphic Forms and Representations, Cambridge Studies in Advanced Mathematics, vol. 55, CUP, 1997.
Meeting time: Tuesdays 14:00 PM EST (1–2 hours, once weekly)
| Date (Fall 2025) | Content | Speaker | [Cas] Chapter & pages |
|---|---|---|---|
| Sep 23 | Overview; Example of SL_2 in Chapter 9 | Alan | 0. Introduction + Chap 9 |
| Sep 30 | Example of SL_2 and its Steinberg as in Chapter 8, Chapter 1 Prep | Alan | Ch. 1,8,9 |
| Oct 7 | Preparations, Notations, Roots | Alan | Ch. 1 |
| Oct 14 | Parabolic induction; Frobenius reciprocity | TBA | Ch. 3 (pp. 32–37) |
| Oct 21 | Asymptotic behavior of matrix coefficients | TBA | Ch. 4 (pp. 38–45) |
| Oct 28 | Absolutely cuspidal representations | TBA | Ch. 5 (pp. 46–51) |
| Nov 4 | Intertwining operators I: definitions, basic properties | TBA | Ch. 6 (pp. 52–58) |
| Nov 11 | Intertwining operators II: irreducibility criteria | TBA | Ch. 6 (pp. 59–66) |
| Nov 18 | Wrap-up: composition refinements, Steinberg representation, unramified principal series of SL2 | TBA | Ch. 7–8 (pp. 67–77) |
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* Rows in bold are planned for more than one meeting. Page ranges follow Casselman’s Table of Contents (Draft, 1 May 1995). |
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