Geometry, Topology and Categorification Seminar: Deformed hypertoric algebras and Fukaya categories of complexified hyperplane complements

Monday, September 21 at 2:30pm to 3:45pm

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Virtual Event


Andy Manion, USC

Abstract: I will discuss joint work with Aaron Lauda and Tony Licata giving a conjectural description of certain algebras \tilde{B}(V), deforming algebras B(V) that conjecturally describe Fukaya categories of hypertoric varieties, in terms of wrapped Fukaya categories of complexified hyperplane complements. I will also discuss our proof of this conjecture when V is a cyclic hyperplane arrangement, which makes use of known results describing the Fukaya category of the complement in this case in terms of algebras first introduced by Ozsvath-Szabo in 2016. If time permits, I will discuss relationships with the m=1 amplituhedron, a recent topic of interest in the physics of scattering amplitudes.

Dial-In Information

https://usc.zoom.us/j/99698082212?pwd=eVVjNTcrSm5XL1Zaa2VGUTkvUkNtUT09
Meeting ID: 996 9808 2212; Passcode: 102110

Event Type

Lecture / Talk / Workshop

Department
Mathematics
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