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Algebraic Topology and Physics Seminar, Week 11

Algebraic Topology and Physics Seminar Week 11: Mohammed Abouzaid, "Fukaya Categories of Stein Manifolds"

Title: Fukaya Categories of Stein Manifolds
Speaker: Mohammed Abouzaid, Simons Center
Date: Tuesday, April 24, 2012
Time: 10:30am – 12:00pm
Place: Seminar Room 313, Simons Center






I will begin by reviewing Fukaya categories, and give a brief overview of the methods that we have for computing them. I will then focus on the use of Lefschetz fibrations as a method to compute Fukaya categories of Stein manifolds, and present joint work with Seidel that essentially gives an inductive formula for these categories. The formula is motivated by an extension of Kontsevich’s homological mirror symmetry conjecture. If time permits, I will discuss some categorical consequences of these results.