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 |
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