Title: Large lozenge and domino tilings
Abstract: We survey old, recent, and not-yet-published results on large
lozenge/domino tilings of simple domains in the plane. We concentrate on
limit shape results (for plane partitions, pyramid partitions, and Aztec
diamonds), and mention fluctuation results around limit shapes as time
permits. The talk is partly based on work with Jérémie Bouttier, Mirjana
Vuletić, Peter Nejjar, and on work-in-progress with Cedric Boutillier
and Mirjana Vuletić.
Alexi Morin-Duchesne