Lattice walk as an exactly solvable model

Abstract: Workshop Kirillov–75. Combinatorics and Bethe ansatz. November 26–27

In this talk, I will introduce the research of lattice walk in analytic combinatorics. Starting from simple one dimensional discrete random walks, I will show how algebraic structures affect the the solution. The result in two dimensional walks is most attracting. We will meet many concepts such as algebraic curves, conformal mapping and Riemann surface in solving two dimensional walks. In the last part of this talk, I will talk about the relation between lattice walk and integrable phase model.

mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry

Audience: general audience

BIMSA Integrable Systems Seminar

Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.

Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.

The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.