Geometry/Physics Seminar

Title: The directed Fukaya category and Morse theory
Speaker: Joseph Johns
Speaker Info: Univesity of Chicago
Brief Description:
Special Note:

Let $f: N \longrightarrow \mathbb{R}$ be a Morse function and let $g$ be a Riemannian metric so that $(f,g)$ is Morse-Smale. Given this data I will explain how to construct an explicit model of a Lefschetz fibration $\pi = \pi_{(f,g)}: T^*N \longrightarrow \mathbb{C}$ which extends $f$ and has no further critical points. I will then relate the directed Fukaya category of $\pi$ to the flow category of $(N,f,g)$. If time permits, I will mention an application of these results to Arnold's nearby Lagrangian problem, building on work of Fukaya, Smith, and Seidel.
Date: Thursday, January 12, 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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