Thursday, October 27, 2022

Thursday, October 27, 2022 — 1:00 PM EDT

Title: A raising operator formula for Macdonald polynomials

Speaker: Anna Pun 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.

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