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Homological Knot Invariants from Mirror Symmetry: Computations
Student-Run Research Seminar| Speaker: | Elise LePage, UC Berkeley |
| Location: | 2112 MSB |
| Start time: | Wed, Jan 18 2023, 12:00PM |
In recent work, Aganagic proposed a general approach to categorifying quantum link invariants based on a category of A-branes. I will describe in the detail the two simplest cases, corresponding to Khovanov homology, associated to su(2), and knot Floer homology, associated to gl(1|1). I will give an explicit algorithm for computing link homologies in these cases. I will also briefly describe the generalization to other simple Lie algebras and to Lie superalgebras of type gl(m|n). This talk is based on work in progress with Mina Aganagic and Miroslav Rapcak.
Pizza at 11:50am.