Birational Geometry of Complete Quadrics

César Lozano Huerta (UIC)

Schubert in the 19th century introduced the space of complete quadrics which has attracted the attentions of geometers since. The purpose of this talk is to show recent work on the birational geometry of this classical space. For example, we show the cone of effective divisors of the space of complete quadric surfaces has eight Mori chambers. Furthermore, we describe the moduli interpretation for the (log) minimal models induced by them. We finish by stating a connection of this work with representation theory.

Tuesday, January 21st, at 4:00pm in HBH 227

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