Date: Monday, January 14, 2013
Location: 4088 East Hall (4:00 PM to 6:00 PM)
Title: Computations and comparisons for double ramification classes on the moduli space of curves
Abstract: Double Hurwitz numbers can be defined geometrically as a weighted count of covers of the projective line with special ramification conditions. Double ramification classes are Chow classes on the moduli space of curves that give a geometric generalization of these numbers. In this talk I will discuss the two main approaches for constructing these classes. We will see how the two approaches compare, how the classes may be expressed in the tautological ring (thanks to recent work of Hain, and Grushevsky-Zakharov), and how this comparison relates to other results in Hurwitz theory. This is joint and continuing work with Renzo Cavalieri and Jonathan Wise.
Speaker: Steffen Marcus
Institution: Utah
Event Organizer:
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