String/Math Seminar: Andrew Manion (University of Southern California) “Higher representations and cornered Heegaard Floer homology” @ 1:10pm

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Abstract: Starting with some context and motivation from a mathematical and physical perspective, I will discuss recent work with Raphael Rouquier on a higher tensor product operation for 2-representations of Khovanov’s categorification of U(gl(1|1)^+), examples of such 2-representations that arise as strands algebras in bordered and cornered Heegaard Floer homology, and a tensor-product-based gluing formula for these 2-representations expanding on work of Douglas-Manolescu.