Michael Wong (University of Texas at Austin / Bonn)

Hochschild Cohomology of NC Matrix Factorizations.

Abstract:

R. Bocklandt proved a version of mirror symmetry in which the dual to a punctured curve is a noncommutative Landau-Ginzburg (LG) model: namely, the Jacobi algebra of a dimer model, equipped with a canonical potential. We will review the basic theory of dimer models and existing literature on matrix factorizations of commutative LG models. Then we will present a conjectural answer for the Hochschild cohomology of matrix factorizations of noncommutative LG models in terms of a compactly supported version for curved algebras