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Monday, September 11, 2017

**Abstract:** Given a monotone Lagrangian L in a monotone symplectic manifold, there is a function known as the disc potential that encodes counts of maslov index 2 discs with boundary on L. The behavior of this potential under certain geometric transformations of the Lagrangian (mutations) is governed by what is known as a "wall-crossing formula." In this talk I will present a new, simple argument that allows one to prove such formulas in a general setting. The main new ingredient is a reformulation of the problem in terms of relative Floer theory. This is joint work with Dmitry Tonkonog.