String Theory Journal Club
sala 2.25, ul. Pasteura 5
2024-06-11 (12:15) 
Pedram Karimi (IFT UW)
An Introduction to Dunkl operators and symmetric polynomials
Dunkl operators are a certain difference-differential operators defined on root systems. I will show that the action of Dunkl laplacian is closely related to Colagero-Sutherland hamiltonian, which has Jack polynomials as eigenfunction. Additionally, I will review the proof of Goulden and Jackson conjecture by Okounkov and address two of the three questions Okounkov raised in his paper.