Doubly periodic models of the Aztec diamond

Combinatorics Seminar
November 15, 2023
1:00 pm - 1:50 pm
MW 154

Date Range
2023-11-15 13:00:00 2023-11-15 13:50:00 Doubly periodic models of the Aztec diamond Title:  Doubly periodic models of the Aztec diamond Speaker:  Mateusz Piorkowski (KU Leuven) Abstract:  Doubly periodic tiling models have gained considerable attention in recent years due to their deep connections with random matrices, combinatorics, algebraic geometry, orthogonal polynomials and various other fields of mathematics. In this talk I will report on recent developments in the study of the doubly periodic Aztec diamond, and present some new results obtained in a collaboration with Arno Kuijlaars concerning the arctic curve. Our methods are based on the analysis of certain matrix-valued orthogonal polynomials introduced by Duift and Kuijlaars in 2021. MW 154 America/New_York public

Title:  Doubly periodic models of the Aztec diamond

Speaker:  Mateusz Piorkowski (KU Leuven)

Abstract:  Doubly periodic tiling models have gained considerable attention in recent years due to their deep connections with random matrices, combinatorics, algebraic geometry, orthogonal polynomials and various other fields of mathematics. In this talk I will report on recent developments in the study of the doubly periodic Aztec diamond, and present some new results obtained in a collaboration with Arno Kuijlaars concerning the arctic curve. Our methods are based on the analysis of certain matrix-valued orthogonal polynomials introduced by Duift and Kuijlaars in 2021.

Events Filters: