July 17, 2020 to August 14, 2020
Kavli IPMU, Kashiwa, Japan
Asia/Tokyo timezone

7/17 [Liana Heuberger] Combinatorial Reid's Recipe for Dimer Models

Not scheduled
1h
Online with registration before July 17.

Online with registration before July 17.

https://indico.ipmu.jp/event/314/registrations/95/

Description

Reid's recipe marks interior line segments and lattice points in the fan of G-Hilb with certain nontrivial irreducible representations of G. Our goal is to generalise this by marking the toric fan of a crepant resolution of any affine Gorenstein singularity, in a way that is compatible with both the G-Hilb case and its categorical counterpart known as Derived Reid’s Recipe. The result is a combinatorial version of the algorithm via consistent dimer models, whose key ingredient is adapting Nakamura’s jigsaw transformations for G-Hilb to our context. This is joint work with Alastair Craw and Jesus Tapia Amador.

Presentation materials