Generators and relations for Soergel bimodules

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• Geordie Williamson (Oxford)
• Wednesday 02 February 2011, 16:30-17:30
• MR15.

If you have a question about this talk, please contact Christopher Brookes.

Soergel bimodules are a certain tensor category which categorifies the Hecke algebra of a Coxeter group. I will describe work in progress with Ben Elias in which we present the category of Soergel bimodules via generators and relations (building on earlier work of Libedinsky and Elias-Khovanov). I will explain why an important role in the story is played by actions of Coxeter groups on categories, and how this leads naturally to certain generalisations of the Zamolodchikov equation which are related to the platonic solids.

This talk is part of the Algebra and Representation Theory Seminar series.

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