Variations and harmony in the domino world (Nikolai Kuchumov, LPSM)

04.12.2023 16:15 – 18:15

Abstract:
The talk will consist of two parts. The first half is based on the work arXiv:2110.06896, we will discuss random domino tilings of multiply connected domains: the classical Arctic circle theorem, and its extension to a multiply connected domain with a help of a variational principle, where the height function obtains a monodromy, non-zero increment going around a loop.
In the second half, we will focus on the new method of computation of the frozen curve, which generalize the Arctic circle, and the main tool will be the tangent plane method proposed by Rick Kenyon and Istvan Prause in 2020 in arXiv:2006.01219. If time permits, we will also discuss work in progress with this method for a multiply connected Aztec diamond.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-15, Séminaire "Maths-Physique"

entrée libre