Speaker: | Peter Zograf (PDMI) |
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Title: | Volumes of moduli spaces of algebraic curves |
Date (JST): | Fri, Sep 18, 2009, 13:30 - 15:00 |
Place: | Seminar Room at IPMU Prefab. B |
Abstract: |
The moduli space of complex algebraic curves carry a natural Kaehler structure given by the Weil-Petersson metric. The volumes of moduli spaces with respect to the Weil-Petersson metric are interesting invariants that appear naturally in both mathematics and theoretical physics. We propose a fast algorithm for computing Weil-Petersson volumes that leads to a conjectural formula for their large genus asymptotic behavior. |