Expansion coefficients for Jack polynomials.

Abstract:

Jack polynomials form a basis for the ring of symmetric polynomials, generalising several other classical families of polynomials, including Schur polynomials. There is an ongoing search for direct formulas for some the coefficients obtained when certain products and translates of Jack polynomials are expanded in this basis. In this talk, I will describe these polynomials and coefficients, and discuss some of the interesting combinatorics underlying them.

 About the speaker:

Yusra Naqvi is currently a postdoctural fellow  in the School of Mathematics and Statistics at the University of Sydney where she is working with Anne Thomas.