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Homological Link Invariants from Mirror Symmetry

[HYBRID WORKSHOP] New Four-Dimensional Gauge Theories October 24, 2022 - October 28, 2022

October 25, 2022 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Mina Aganagic (University of California, Berkeley)
Location: MSRI: Simons Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

The knot categorification problem is to find the theory that categorifies quantum link invariants which works uniformly with respect to the choice of a Lie algebra, and originates from geometry and physics. The solution comes from a new relation between homological mirror symmetry and representation theory. The symplectic geometry side of mirror symmetry is a theory generalizing Heegard–Floer theory. The generalization corresponds to replacing gl(1|1) by an arbitrary Lie algebra. The theories can be solved exactly.

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Homological Link Invariants From Mirror Symmetry

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