February 5: Samuel Marks. p-adic modular forms à la Serre. Serre, Chapter 1. (notes) |
February 12: Naomi Sweeting. Modular Forms from a Geometric Perspective. Katz 1973, Sections 1.1-1.6. |
February 19: Borys Kadets. Modular schemes and Hecke operators. Katz 1973, Sections 1.7-1.13. |
February 26: Murilo Corato Zanarella. p-adic modular forms à la Katz. Katz 1973, Chapter 2. (notes) |
March 4: Yifan Wu. The canonical subgroup. Katz 1973, Chapter 3 up to Section 3.9 inclusive. |
March 11: NO SEMINAR (Arizona Winter School) |
March 18: Alex Best. Motivation from complex analysis; Gauss-Manin connection. Katz 1973, Appendix 1. |
March 25: NO SEMINAR (Spring Break) |
April 1: Zhiyu Zhang. Frobenius on p-adic modular forms and the theta operator. Katz 1973, Appendix 2. |
April 8: Si Ying Lee. Modular forms on Hilbert modular varieties. Katz 1978, Sections 1.0-1.8. |
April 15: Alexander Petrov. p-adic modular forms on Hilbert modular varieties. Katz 1978, Sections 1.9-1.12. |
April 22: Tony Feng. Differential operators on modular forms. Katz 1978, Sections 2.0, 2.1, 2.5, 2.6. |
April 29: Ziquan Yang. p-adic Eisenstein series. Katz 1978, Sections 3.2 and 3.4. |
May 6: Zijian Yao. CM Hilbert-Blumenthal abelian varieties. Katz 1978, Sections 5.0 and 5.1, and the statements of 5.2.26 and 5.2.29. |
May 13: Daniel Kriz. Construction of Katz p-adic L-functions. Katz 1978, Chapter 4 and Sections 5.3 and 5.4. |
Organizers: Daniel Kriz, Bjorn Poonen, Zhiyu Zhang