Organizers: Lior Silberman, Bill Casselman, Julia Gordon.
Contact: lior | @ | math.ubc.ca | ; MATH 229B | ; 604-827-3031 |
Meeting | Title | Speaker | Notes & References |
---|---|---|---|
1. (2/9) | Holomorphic forms | Lior Silberman | [7] |
2. (11/9) | Hilbert spaces and self-adjoint operators | Bill Casselman | [6] |
3. (18/9) | Hyperbolic geometry | Hesam Abbaspour | |
4. (25/9) | Hyperbolic geometry Maass forms |
Lior Silberman Scott Sitar |
notes [3] |
5. (2/10) | Absolute convergence of Eisenstein series | Alia Hamieh | [5] |
6. (7/10) | Compact operators and the resolvent Analytical continuation of Eisenstein series |
Lior Silberman Jay Heumann |
[2] [4] |
7. (16/10) | The analytical continuation (ctd) Representation Theory of SL_2(R) |
Jay Heumann Julia Gordon | |
8. (23/10) | Representation Theory of SL_2(R), continued | Julia Gordon | |
9. (6/11) | Maass forms associated to real quadratic fields L-functions associated to Maass forms |
Hesam Abbaspour | |
10. (13/11) | Hecke operators the Euler product | Scott Sitar | [1] |
11. (20/11) | Adeles and adelic groups | Jay Heumann | |
12. (27/11) | The adelic perspective | Alia Hamieh | [1] |
Topics | Author(s) | Title | Data | |
---|---|---|---|---|
[1] | Bump | Automorphic forms and representations | CSM No. 53. Cambridge University Press, Cambridge, 1997. xiv+574 pp. ISBN: 0-521-55098-X, MR: 1431508 | |
[2] | Continuation of E. Series | Colin de Verdière | Une nouvelle démonstration du prolongement méromorphe des séries d'Eisenstein | C. R. Acad. Sci. Paris Sér. I Math. 293 (1981), no. 7, 361–363. MR: 0639175 |
[3] | Maass forms, the space Γ\H | Iwaniec | Spectral Methods of Automorphic Forms | 2nd edition. GSM No. 53. AMS, Providence, RI, 2002. xii+220 pp. ISBN: 0-8218-3160-7, MR: 1942691 |
[4] | Continuation of E. Series | Jacquet | Note on the analytic continuation of Eisenstein series | Proc. Sympos. Pure Math. 61 (1997), 407–412. MR: 1476506 |
[5] | Convergence of E. series | Kubota | Elementary theory of Eisenstein series | Halsten Press, New York, 1973. xi+110 pp. MR: 0429749 |
[6] | Hilbert spaces, Elliptic Regularity, Fourier Analysis | Reed and Simon | Methods of modern mathematical physics I: Functional analysis | 2nd edition. Academic Press, New York, 1980. xv+400 pp. ISBN: 0-12-585050-6, MR: 0751959 |
[7] | Quadratic forms and modular forms | Serre | A Course in Arithmetic | GTM No. 7. Springer-Verlag, New York-Heidelberg, 1973. viii+115 pp. ISBN: 0-38-7900403-0, MR: 0255476 |
Clarification: the writings on these pages are generally my own creations (to which I own the copyright), and are made available for traditional academic reuse. If you wish to republish substantial portions (including in "derivative works") please ask me for permission. The material is expressly excluded from the terms of UBC Policy 81.
Last modified Friday August 07, 2009