**University of Miami**

Department of Mathematics

*College of Arts and Sciences*

Department of Mathematics

*College of Arts and Sciences*

**Lecture Series**

**Dr. Andrei Okounkov**

*Princeton University*

Recipient of a Fields Medal in 2006

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".