Tomas Berggren: Domino tilings of the Aztec diamond with doubly periodic weightings

Time: Fri 2019-11-22 15.00 - 15.20

Location: KTH, D3

Lecturer: Tomas Berggren, KTH

Abstract

This talk will be centered around random domino tilings of the Aztec diamond with doubly periodic weightings. In particular asymptotic results of the $$2\times k$$-periodic Aztec diamond will be discussed, both in the macroscopic and microscopic scale. The macroscopic picture is described using a close connection to a Riemann surface. For instance, the number of smooth regions (also called gas regions) is the same as the genus of the mentioned Riemann surface.