Back to Algebraic Geometry Seminar: Fall 2011
Algebraic Geometry Seminar
Date: Tuesday, Sep 13, 2011
Time: 3:30PM - 4:30PM
Location: LCB 222
Steffen Marcus
University of Utah
Title |
A comparison theorem for double Hurwitz classes and Jacobian classes. |
Abstract |
Consider the locus L of curves inside the moduli space of smooth curves admitting a map to the projective line with prescribed ramification profile over two points. This geometric condition can be expressed in two equivalent ways, either as a Hurwitz space, or by intersecting sections of the universal Jacobian. Each gives rise to a Chow class that corresponds to some closure of L inside some partial compactification of the moduli space of curves. In this talk, I will discuss how these classes compare, how they may be expressed in the tautological ring (thanks to recent work of Hain, and Grushevsky-Zakharov), and how this comparison may possibly relate to other results in Hurwitz theory. This is joint work with Renzo Cavalieri and Jonathan Wise and will be, for the most-part, an easy-going continuation of my talk from last year. |
Algebraic Geometry