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Elise LePage
Title: Categorified quantum group representations from Fukaya-Seidel categories
Abstract: Quantum groups and their representations admit categorifications, in which vector spaces and linear maps are replaced by categories and functors. I will describe a construction of these categorifications using Fukaya-Seidel categories of Coulomb branches. This construction realizes categorifications of irreducible representations, Verma modules, and arbitrary tensor products of these representations. A key feature of this construction is a differential relating categorified Verma modules to categorified irreducible representations. I will show how this differential arises geometrically.
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