Organizers: Lior Silberman, Julia Gordon

Contact: lior | @ | math.ubc.ca | MATX 1112 | 604-827-3031 |

This will be an introductory course in modular forms.

- Meetings: Fridays 11:00-13:00 at MATH 126.
- Graduate students can take the seminar for credit by signing up for MATH 592A, section 101.
- Organizational meeting: Friday September 9th, 12:30 at MATH 126.

Section references are to [1] unless noted otherwise.

Meeting | Title | Speaker | Material | Notes |
---|---|---|---|---|

0. 8/9 | Organization | n/a | n/a | |

1. 15/9 | Introduction | Lior Silberman | notes | |

2. 22/9 | Riemann surfaces | Simone Maletto | [2] Ch. 1 | Also [1] Ch. 2 |

3. 29/9 | Modular forms | Shubhrajit Bhattacharya | [1] Ch. 1 | Also [2] Ch. 2 & 4 |

4. 6/10 | Interlude: some algebraic geometry | Souptik Mudi | ||

5. 13/10 | (continued) | |||

6. 20/10 | Hecke operators | Tam Nguyen | [1] §§5.1-5.5 | also [2] §§2.7-8, 4.5 |

7. 27/10 | (continued) | |||

8. 3/11 | Newforms & L-functions | Ethan Armitage | [1] §§5.6-5.10 | also [2] §§4.3,4.6 |

9. 10/11 | Weil's Converse Theorem | Zhengheng Bao | [2] §4.3 | |

10. 17/11 | (continued) | |||

11. 24/11 | Modular curves | Nicky Priebe | [1] Ch. 7 | |

12. 1/12 | The Eichler-Shimura relation | Atonu Mukherjee | [3] Ch. XI | |

13. 8/12 | (continued) |

Topics | Author(s) | Title | Data | |
---|---|---|---|---|

[1] | Diamond & Shurman | A First Couse in Modular Forms | Springer, 2005 | |

[2] | Miyake | Modular Forms | Springer, 1989 | |

[3] | Knapp | Elliptic curves | Princeton Univeristy Press, 1992 |

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