4pm - 5pm
Tuesday 5 October 2021

Quantization of Monodromy data for confluent Painlevé systems, Calabi-Yau 3-algebras and degenerated non-commutative del Pezzo surfaces

A seminar in the Fields, Strings, and Geometry Group research seminar series.

39/40 AA 04
University of Surrey
Guildford
Surrey
GU2 7XH
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Abstract

I shall review relations between the subjects of my title based on my recent work with L. Chekhov and M. Mazzocco (Adv. Math. vol. 376, 2021). I shall describe quantum algebra of functions on affine cubic surfaces naturally appeared as SL2 «tame» and «wild» character varieties naturally associated with Painlevé confluence. Various quantization schemes and their comparisons will be discussed.