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Seminar

EGN Moduli and Representation Theory seminar: Pseudoholomorphic Quilts and higher categorical structures in symplectic topology March 05, 2018 (03:30 PM PST - 05:00 PM PST)
Parent Program: Enumerative Geometry Beyond Numbers MSRI: Baker Board Room
Speaker(s) Katrin Wehrheim (University of California, Berkeley)
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Video
Abstract/Media

Starting from string diagrams for 2-categories, I will introduce the basic approach of my joint works (in progress) with Bottman / Ma'u / Woodward: Translate string diagrams into moduli spaces of pseudoholomorphic quilts, prove the algebraic axioms by adiabatic analysis, and get 2-categorical structures. In particular, this associates to any Lagrangian relation L\subset M \times N  a functor  Fuk(M) \to Fuk(N)  between (some version of) Fukaya categories. (Depending on the symplectic manifolds, this is a result with Ma'u-Woodward or work in progress with Bottman.)