Organizers: Lior Silberman, Julia Gordon, Bill Casselman.

Contact: lior | @ | math.ubc.ca | ; MATH 229B | ; 604-827-3031 |

We will cover an introduction to adelic automorphic forms, using the references below. We will assume some algebraic number theory.

- Meetings: Wednesdays 14:00-15:30 at MATH 126 (except 11/9 at MATX 1102)
- Graduate students can take the seminar for credit by signing up for MATH 592A, section 101.
- Organizational meeting Thursday September 5th, 12:30 at MATX 1118.

Meeting | Title | Speaker | Notes & References |
---|---|---|---|

0. 5/9 | Organization | — | |

1. 11/9 | Adelic Groups | Li | [7], [8] |

2. 25/9 | Representations and Flath's Theorem | Athena | [2], [4] |

3. 2/10 | (continued) | —"— | |

4. 9/10 | Automorphic Forms | Subhajit | [1] |

5. 23/10 | Various remarks | Lior | |

6. 30/10 | Cusp forms | Radhika | [5] |

7. 6/11 | Fourier-Whittaker expansion | Subhajit | [3] |

8. 13/11 | (continued) | —"— | |

9. 20/11 | Integral representation of L-functions | Lior | [3] |

10. 27/11 | The Godement-Jacquet L-function | Athena | [6] |

- A. Borel and H. Jacquet,
*Automorphic forms and automorphic representations*, in the Corvallis proceedings. - D. Bump,
*Automorphic Forms and Representations*(CUP 1998). - J. Cogdell,
*L-functions and Converse Theorems for GL_n*, lecture notes from PCMI 2003. - D. Flath,
*Decompositions of Representations into Tensor Products*, in the Corvallis proceedings. - I. Gelfand, M. Graev, I. Piatestki-Shapiro,
*Representation theory and automorphic functions*(Generalized functions, vol. 6). - R. Godement, H. Jacquet,
*Zeta functions of simple algebras*(Springer 1972). - V. Platonov and A. Rapinchuk,
*Algebraic Groups and Number Theory*(Academic Press 1993). - A. Weil,
*Adeles and algebraic groups*(Birkhauser 1982).

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