Dimer models, matrix factorizations, and Hochschild cohomology

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• Michael Wong, University College London
• Tuesday 03 March 2020, 16:00-17:00
• Physics West 115.

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

A dimer model is a type of quiver embedded in a Riemann surface. It gives rise to a noncommutative 3-Calabi-Yau algebra called the Jacobi algebra. In the version of mirror symmetry proved by R. Bocklandt, the wrapped Fukaya category of a punctured surface is equivalent to the category of matrix factorizations of the Jacobi algebra of a dimer, equipped with its canonical potential. With the aim of studying deformations, I will describe the Hochschild cohomologies of the Jacobi algebra and the associated matrix factorization category in terms of dimer combinatorics.

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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