Geometry/Physics Seminar

Title: Wall-crossing formulas for Lagrangian mutations
Speaker: James Pascaleff
Speaker Info: University of Illinois at Urbana-Champaign
Brief Description: Main talk
Special Note:

In this talk I will discuss several versions of the wall-crossing phenomenon that arise in Floer theory. The first is the interpretation of the wall-crossing formula as a coordinate change between charts on the moduli space of compact exact Lagrangian objects in the Fukaya category of an exact symplectic manifold M, and the second is the behavior of superpotentials of those same Lagrangians when M is replaced by a partial compactification X. By relating the Fukaya categories of M and X, Dmitry Tonkonog and I showed how the latter is determined by the former in a general context. This allows us to derive new wall-crossing formulas in complex dimension greater than two. A third aspect is the way that the same algebra governs also the ring structure on the wrapped Floer cohomology of certain non-compact Lagrangians.
Date: Thursday, October 25, 2018
Time: 4:10pm
Where: Lunt 107
Contact Person: Bahar Acu
Contact email: baharacu@northwestern.edu
Contact Phone:
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