Seminar Event Detail

Geometry & Physics

Date:  Monday, November 20, 2017
Location:  4096 East Hall (4:00 PM to 6:00 PM)

Title:  Effective calculations in the tautological ring of curves

Abstract:   The Deligne-Mumford moduli space M_{g,n} of marked stable curves of genus g has been the subject of a large body of work, however, its intersection theory is far from being completely understood. Most recent work has been focused on describing the so-called tautological ring of M_{g,n}, defined by a natural collection of classes in the Chow or cohomology rings. Recently, two large collections of tautological relations were found, both conjectured by Pixton: the 3-spin relations, proved by Janda, Pandharipande, Pixton and Zvonkine, and the double ramification relations, proved by Clader and Janda. I will show how these relations can be used to effectively find boundary formulas for tautological classes of sufficiently high codimension.
This is joint work with Clader, Grushevsky, Janda and Wang.


Speaker:  Dmitry Zhakarov
Institution:  Central Michigan

Event Organizer:     


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