Seminar Event Detail


Colloquium Series

Date:  Tuesday, February 21, 2017
Location:  1360 East Hall (4:10 PM to 5:00 PM)

Title:  The tautological ring of the moduli space of curves

Abstract:   The tautological ring of the moduli space of smooth curves of genus g was introduced by Mumford in the 1980s in analogy with the cohomology of Grassmannians. Work of Faber and Faber-Zagier in the 1990s led to two competing conjectural descriptions of the structure of the tautological ring. The two conjectures give two distinct combinatorial characterizations of this ring, and they are both true for genus g <= 23, but they are contradictory for g >= 24. After reviewing these conjectures, I will discuss some of the evidence in recent years favoring one conjecture over the other.

Files:


Speaker:  Aaron Pixton
Institution:  MIT

Event Organizer:     

 

Edit this event (login required).
Add new event (login required).
For access requests and instructions, contact math-webmaster@umich.edu

Back to previous page
Back to UM Math seminars/events page.