# Homological Link Invariants from Mirror Symmetry

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

**Speaker(s):**Mina Aganagic (University of California, Berkeley)

**Location:**SLMath: Eisenbud Auditorium, Online/Virtual

**Primary Mathematics Subject Classification**No Primary AMS MSC

**Secondary Mathematics Subject Classification**No Secondary AMS MSC

#### 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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