School Seminars and Colloquia

Constant terms and multivariate polynomials

Tuesday Seminar

by Jan de Gier

Institution: Department of Mathematics and Statistics, The University of Melbourne
Date: Tue 2nd March 2010
Time: 1:00 PM
Location: Room 213, Richard Berry building, The University of Melbourne

Abstract: Certain multivariate polynomials, including specialised non-symmetric Macdonald polynomials and parabolic Kazhdan-Lusztig elements, can be given in terms of constant term expressions. These are equivalent to inhomogeneous multiple contour integrals occurring in the works of Jimbo and Miwa. I will discuss a Bethe Ansatz type derivation of these expressions from first principles.

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