Homological Link Invariants from Mirror Symmetry
[HYBRID WORKSHOP] New Four-Dimensional Gauge Theories October 24, 2022 - October 28, 2022
Location: SLMath: Eisenbud Auditorium, Online/Virtual
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Homological Link Invariants From Mirror Symmetry
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.
Homological Link Invariants From Mirror Symmetry
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