# Mathematics Colloquia and Seminars

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### Counts of maps to Grassmannians and intersections on the moduli space of bundles

**Colloquium**

Speaker: | Dragos Oprea, Stanford University |

Location: | 1147 MSB |

Start time: | Tue, Apr 17 2007, 4:10PM |

The moduli space of vector bundles over a curve is arguably one of the most studied parameter space for sheaves. In this talk, we will describe a relationship between the intersection theory of this moduli space and that of the space of morphisms from the curve to a suitable Grassmannian. In particular, we will (painlessly) derive all Verlinde-type intersection numbers on the moduli space of bundles (e.g. the volumes of these moduli spaces, and the dimension of the space of sections of tensor powers of the determinant line bundles).

This talk is based on joint work with Alina Marian.

Refreshments will start at 3:45 in MSB 1147. Dinner will follow the Colloquium.