Dimer models and homological mirror symmetry

Dimer models are bipartite graphs on a torus,
originally introduced in the 60s as statistical mechanical models,
but recently attracts much attention as combinatorial objects
describing derived categories of coherent sheaves
on toric Calabi-Yau 3-folds. In the talk, I would like to give
a brief introduction to dimer models and their application
to homological mirror symmetry.