Takashi Yamamoto (CSSM)
CSSM
Wednesday, October 26
Seminar Room, First Floor, Physics, University of Adelaide
The Macdonald polynomials are the symmetric polynomials which can be regarded as a two-parameter deformation of the Schur functions. The aim of my talk is to give an overview of applications of the theory of Macdonald polynomials to the problems in (mathematical) physics. First, I illustrate the symmetric function theory by using the one-dimensional free fermions. Secondly, I introduce the Macdonald polynomials and their basic properties. Then, lastly, I give examples of the applications of the Macdonald polynomials to (mathematical) physics. An application to the spin chain model is explained in detail.