# Coordinate Bethe Ansatz and Orthogonal polynomials

#### by Richard Brak

Institution: The University of Melbourne, Mathematics and Statistics Department
Date: Tue 21st July 2009
Time: 1:00 PM
Location: Room 107, Richard Berry Building, The University of Melbourne

Abstract: This is part two of the combinatorics of orthogonal
polynomials. I will discuss the connection between the Bethe Ansatz,
Chebyshev type orthogonal polynomials and perturbed uniform Motzkin
paths in a strip. This leads to a matrix diagonalization proof of
Viennot's path theorem. If time permits I'll discuss the
generalisation to N-path systems. This time there will be more linear
algebra than combinatorics.