Research

Analysis

(Leader: Prof. Boris Shekhtman)

Wednesday, September 19, 2001

Title: Discrete Norms of Polynomials at Equidistant Points
Speaker: E. A. Rakhmanov
Time: 5:00pm-6:00pm
Place: PHY 013

Wednesday, September 26, 2001

Title: More on Discrete Norms of Polynomials
Speaker: Boris Shekhtman
Time: 5:00pm-6:00pm
Place: PHY 013

Wednesday, October 10, 2001

Title: Bethe Ansatz Equations and Zeros of Polynomials, Part II
Speaker: Mourad Ismail
Time: 5:00pm-6:00pm
Place: PHY 013

Wednesday, October 17, 2001

Title: Discrete Norms of Polynomials at Equidistant Points, Part II
Speaker: E. A. Rakhmanov
Time: 5:00pm-6:00pm
Place: PHY 013

Wednesday, October 24, 2001

Title: Discrete Norms of Polynomials at Equidistant Points (Alternative View) and Related Questions
Speaker: Boris Shekhtman
Time: 5:00pm-6:00pm
Place: PHY 013

Wednesday, November 7, 2001

Title: The Relationship Between Discrete Norms of Polynomials and Potential Theory
Speaker: E. A. Rakhmanov
Time: 5:00pm-6:00pm
Place: PHY 013

Wednesday, November 14, 2001

Title: Orthogonal Polynomials and Toda Lattice
Speaker: Mourad Ismail
Time: 5:00pm-6:00pm
Place: PHY 013

Abstract

We explain how the Toda lattice was proved to be a completely integrable system. The proof, known from the early 70's, uses orthogonal polynomials. The ideas behind the proof will be explained.