## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** On Homological Mirror Symmetry and Tropical Geometry

**Speaker:** Mohammed Abouzaid

**Speaker Info:** University of Chicago

**Brief Description:**

**Special Note**:

**Abstract:**

Given a smooth projective toric variety and an ample line bundle, I will explain how one can use Mikhalkin's
tropical techniques to construct the Lagrangians which are mirrors to powers of the chosen line bundle, and verify a
piece of the homological mirror conjecture. Time permitting, I will outline work in progress to extend these ideas to
a quasi isomorphism of A^{\infty} categories between the category of line bundles on a smooth toric variety and a
certain category of Lagrangians sections of the mirror.

**Date:** Thursday, March 02, 2006

**Time:** 4:00pm

**Where:** Lunt 107

**Contact Person:** Prof. Chiu-Chu Melissa Liu

**Contact email:** ccliu@math.northwestern.edu

**Contact Phone:** 847-467-1874

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