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Title: Dimer Models and Tropical Lagrangian Coamoebae

Abstract: Dimer models have attracted interest from diverse perspectives across geometry, combinatorics, and mathematical physics. In particular, they were connected to mirror symmetry in influential work of Feng–He–Kennaway–Vafa, building on earlier connections to algebraic geometry by Kenyon–Okounkov–Sheffield. In this talk we introduce a new class of objects, tropical Lagrangian coamoebae, which explain how certain features of dimer models — namely, their mirror relation to line bundles on curves in an algebraic 2-torus — generalize to arbitrary coherent sheaves on algebraic tori of any dimension. As the name suggests, their theory can also be understood from a symplectic point of view as being dual to the theory of tropical varieties. This is joint work with Chris Kuo.

Location: UQAM PK-5675