Limit shapes and harmonic tricks

by Prof. Nikolai Kuchumov (Åbo akademi, Finland)

Thursday 11 Jun 2026, 15:30 → 16:30 Europe/Brussels

B/2nd floor-B.203 - Seminar room (Marc de Hemptinne (chemin du Cyclotron, 2, Louvain-la-Neuve))

The talk will be on the tangent plane method — a novel method for analysys of limit shapes of the dimer model. It will consist of three parts. In the first part, we will briefly introduce the dimer model and the necessary concepts including the associated variational problem. The second part will focus on the underlying geometry using harmonic parametrization. In the third part, we will consider two specific examples of limit shape parametrized by a modular parameter: the Aztec diamond with a hole, and a hexagon with a hexagonal hole. The talk is based on https://arxiv.org/abs/2603.21255