Speaker
Prof.
Nathanael Berestycki
(Cornell University)
Description
We consider the dimer model on isoradial graphs, in the near-critical scaling regime and with Temperleyan boundary conditions. In previous joint work with Levi Haunschmid-Sibitz we proved (for the square and hexagonal lattices) convergence of branches in the associated Temperleyan tree to the so-called massive $SLE_2$ of Makarov and Smirnov. We also stated a precise conjecture that the limiting height function is a specific variant of the sine-Gordon model (from quantum field theory) at its free fermion point.
This conjecture is currently being proved in joint work with Scott Mason and Lucas Rey. I will describe some of our results in this direction.
Author
Prof.
Nathanael Berestycki
(Cornell University)