## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds

**Speaker:** Professor Cheolhyun Cho

**Speaker Info:** Northwestern University

**Brief Description:**

**Special Note**:

**Abstract:**

In this talk, I'll explain how to compute Bott-Morse Floer cohomology of
Lagrangian torus fibers in Fano toric manifolds using the explicit
description of disc instantons. By specializing to the formal parameter
value "T^{2\pi}=e^{-1}", this verifies the prediction of K. Hori made
under the mirror symmetry correspondence, which states that the Floer
cohomology (for the parameter value $T^{2\pi} = e^{-1}$) of all the fibers
vanish except at a finite number of base points in the momentum polytope
that are critical points of the superpotential of the Landau-Ginzburg
mirror to the toric manifold.

**Date:** Thursday, October 09, 2003

**Time:** 4:00pm

**Where:** Lunt 104

**Contact Person:** Prof. Eric Zaslow

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

**Contact Phone:** 847-467-6447

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