Local Normal Forms of Noncommutative Functions

Michael Wemyss (University of Glasgow)

Wednesday 18th May, 2022 16:00-17:00 Maths 110


This talk will explain how to generalise Arnold's results classifying commutative singularities into the noncommutative setting, and will classify finite dimensional Jacobi algebras arising on the d-loop quiver.  The surprising thing is that a classification should exist at all, and it is even more surprising that ADE enters.  I will spend most of my time explaining what the algebras are, why they classify, and how to intrinsically extract ADE information from them. At the end, I'll briefly explain why I'm really interested in this problem, the connection with different quivers, and the applications of the above classification to curve counting and birational geometry. This is all joint work with Gavin Brown.

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