Algebraic Geometry Seminar

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Hyperelliptic Loci in Moduli Spaces of Curves

Speaker: Nicola Tarasca, Fields Institute

Location: Warren Weaver Hall 1314

Date: Tuesday, November 29, 2016, 3:10 p.m.

Synopsis:

In this talk, I will discuss some recent results in the enumerative geometry of subvarieties of moduli spaces of curves. In joint work with Dawei Chen, we study the extremality of loci of hyperelliptic curves with marked Weierstrass points inside cones of effective classes of high codimension. I will present a close formula for classes of loci of genus-two curves with marked Weierstrass points as result of an ongoing work with Renzo Cavalieri. These are among the first results toward the study of cones of higher codimensional effective classes.