A primer on Calabi-Yau algebras

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• Dan Kaplan, University of Birmingham
• Tuesday 04 February 2020, 16:00-17:00
• Physics West 115.

If you have a question about this talk, please contact Timothy Magee.

Calabi-Yau (CY) algebras are ubiquitous in geometry, arising for example as functions on an affine CY-variety, group algebras of the fundamental group of a manifold, and Jacobi algebras of a quiver with potential. In this talk I’ll provide an example-oriented treatment of their history, properties, and applications. Then I’ll turn to preprojective algebras, which are classically 2-CY in the non-Dynkin case. Finally, I’ll discuss joint work with Travis Schedler where we conjecture the same for a multiplicative version of preprojective algebras—defined by Crawley-Boevey and Shaw—and prove the conjecture for quivers containing a cycle.

This talk is part of the Geometry and Mathematical Physics seminar series.

This talk is included in these lists:

• Bham Talks
• Geometry and Mathematical Physics seminar
• Physics West 115
• School of Mathematics events

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