University of Miami
Department of Mathematics
College of Arts and Sciences

Lecture Series

Dr. Andrei Okounkov
Princeton University
Recipient of a Fields Medal in 2006

will present

Recent Shortcuts to Witten's Conjecture

Monday, February 19, 2007, 4:00pm in Ungar Room 402
Friday, February 23, 2007, 4:30pm in Ungar Room 402

Refreshments served 30 minutes before each talk in Ungar Room 521
All interested persons are welcome to attend.

Abstract: Witten's conjecture of 1991 evaluates certain intersection numbers on the moduli spaces of curves using the Korteweg-de Vries equation. Several mathematical approaches to this statement were found, the first one due to Kontsevich. Recently, rather dramatic shortcuts to the goal were discovered. I will explain one of them, following the work of Lando and Kazarian. My aim is to make the lectures self-contained and accessible to general mathematical audience. 

Andrei Okounkov was awarded the Fields Medal in 2006 "for his contributions bridging probability, representation theory and algebraic geometry".