MATH Seminar
| Title: A determining condition of Hilbert modular forms |
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| Seminar: Algebra |
| Speaker: Yuuki Takai of Keio University |
| Contact: David Zureick-Brown, dzb@mathcs.emory.edu |
| Date: 2013-09-05 at 4:00PM |
| Venue: W306 |
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| Abstract: The elliptic holomorphic modular forms of weight $k$ and level $\Gamma_1(N)$ are determined by the first $(k/12)[\Gamma_1(1): \Gamma_1(N)]$ Fourier coefficients. The mod $\ell$ analogue of the fact is called Sturm's theorem. In this talk, I will give a generalization of the first fact and Sturm's theorem for Hilbert modular forms. To prove them, I use geometric properties of some compacitifications of Hilbert modular varieties. |
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