MATH Seminar
| Title: Vector-valued Hirzebruch-Zagier series and class number sums |
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| Seminar: Algebra |
| Speaker: Brandon Williams of UC Berkeley |
| Contact: David Zureick-Brown, dzb@mathcs.emory.edu |
| Date: 2018-04-17 at 4:00PM |
| Venue: W304 |
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| Abstract: For any fundamental discriminant $D > 0$, Hirzebruch and Zagier constructed a modular form of weight two whose Fourier coefficients are corrections of the Hurwitz class number sums $\sum_{r^2 \equiv 4n \, (D)} H((4n - r^2) / D)$. In this talk, we will discuss how one can reinterpret their result and remove the condition that $D$ is fundamental by working instead with vector-valued modular forms for Weil representations. |
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