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Vortices and Vermas (and other applications of 3d gauge theory to geometric representation theory

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HTL - Homology theories in low dimensional topology

Supersymmetric quantum gauge theories have a long history of relations with low-dimensional geometry and topology. They are also a natural physical home for geometric representation theory. I will review some recent developments in the realm of 3d gauge theories and their representation-theoretic consequences for Category O, symplectic duality, and the AGT correspondence.



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