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CATEGORIES:Lecture / Talk / Workshop
DESCRIPTION:Andy Manion\, USC\n\nAbstract: I will discuss joint work with A
aron Lauda and Tony Licata giving a conjectural description of certain alge
bras \tilde{B}(V)\, deforming algebras B(V) that conjecturally describe Fuk
aya categories of hypertoric varieties\, in terms of wrapped Fukaya categor
ies of complexified hyperplane complements. I will also discuss our proof o
f this conjecture when V is a cyclic hyperplane arrangement\, which makes u
se of known results describing the Fukaya category of the complement in thi
s case in terms of algebras first introduced by Ozsvath-Szabo in 2016. If t
ime permits\, I will discuss relationships with the m=1 amplituhedron\, a r
ecent topic of interest in the physics of scattering amplitudes.
DTEND:20200921T224500Z
DTSTAMP:20210621T042029Z
DTSTART:20200921T213000Z
LOCATION:
SEQUENCE:0
SUMMARY:Geometry\, Topology and Categorification Seminar: Deformed hypertor
ic algebras and Fukaya categories of complexified hyperplane complements
UID:tag:localist.com\,2008:EventInstance_34592754375207
URL:https://calendar.usc.edu/event/geometry_topology_and_categorification_s
eminar_deformed_hypertoric_algebras_and_fukaya_categories_of_complexified_h
yperplane_complements
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