Algebraic Geometry Seminar

Xiaotao Sun
Chinese Academy of Sciences
Minimal rational curves on moduli spaces of stable bundles
Abstract: The moduli space of stable bundles of rank r with a fixed determinant over a smooth projective curve is a Fano manifold with cyclic Picard group. In this talk, we will determine all rational curves of minimal degree on the moduli space and minimal rational curves through generic point . Then we will give some applications of the main theorem. Some recent results about minimal elliptic curves on moduli spaces will be given if time permits.
Monday November 15, 2010 at 2:00 PM in SEO 1227
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