AbstractThe notion of representations of Lie algebras on categories ("2-representations") has proven useful in representation theory. I will discuss joint work with Andrew Manion for the case of the super Lie algebra gl(1|1). A motivation is the reconstruction of Heegaard-Floer theory, a 4-dimensional topological field theory, and its extension down to dimension 1.About the speakerRaphaël Alexi...
AbstractKLR algebras are a family of algebras introduced approximately fifteen years ago as part of the programme of categorifying quantum groups. We will discuss various representation-theoretic properties of these algebras. Along the way, we see an interesting mix of geometry, combinatorics and homological algebra.SpeakerPeter McNamara is a Senior Lecturer at the University of Melbourne. His ...
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