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International conference «Categorical and analytic invariants in Algebraic geometry 3»
September 12, 2016 15:00–16:00, Moscow
 


Dimer models with group actions

A. Ishii

Hiroshima University
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MP4 1,366.0 Mb
MP4 346.5 Mb

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Abstract: A dimer model is a graph embedded in the real two torus whose nodes are colored black or white, which satisfies a certain condition. A dimer model determines a lattice polygon called the characteristic polygon. If a dimer model is "consistent", then it describes (commutative or non-commutative) crepant resolutions of Gorenstein affine toric 3-fold associated with the characteristic polygon. In this talk, we consider the relation between dimer models with finite group action and crepant resolutions of finite quotients of Gorenstein affine toric 3-folds. Further we discuss the existence of consistent dimer models for a given lattice polygon with a finite group action. This is a joint work with Kazushi Ueda and Alvaro Nolla de Celis.

Language: English

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