Title: A raising operator formula for Macdonald polynomials
|Affiliation:||CUNY- Baruch College|
|Location:||MC 5479 or contact Olya Mandelshtam for Zoom|
Abstract: In this talk, I will give a brief introduction on Catalanimal, a tool that helps us to prove the shuffle theorem under any line, the extended delta conjecture and the Loehr- Warrington conjecture. I will then focus on its variant "Macanimal" which gives us an explicit raising operator formula for the modified Macdonald polynomials. Our method just as easily yields a formula for an infinite series of $GL_l$ characters which truncates to the modified Macdonald polynomials.