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Simons Foundation Lectures · Today · 50 min

ICM 2026 Invited Section Lecture - Jennifer Morse

A Combinatorial Ride from Macdonald Polynomials to Schubert Calculus and Back When I started my Ph.D., I had never even heard of combinatorics. Adriano Garsia and Jeff Remmel eagerly stepped in and taught me that it is the study of a remarkable family of symmetric functions called Macdonald polynomials. By the time I discovered that their definition was not universally accepted, I had already been thoroughly indoctrinated. In this talk, I will share the Garsia–Remmel lessons, along with the story of how decades of playing with Young tableaux led to the development of a combinatorial architecture that underlies both these Macdonald polynomials and a branch of algebraic geometry known as Schubert calculus. Uploaded 06-10-26 Learn more about your ad choices. Visit megaphone.fm/adchoices

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A Combinatorial Ride from Macdonald Polynomials to Schubert Calculus and Back

When I started my Ph.D., I had never even heard of combinatorics. Adriano Garsia and Jeff Remmel eagerly stepped in and taught me that it is the study of a remarkable family of symmetric functions called Macdonald polynomials. By the time I discovered that their definition was not universally accepted, I had already been thoroughly indoctrinated. In this talk, I will share the Garsia–Remmel lessons, along with the story of how decades of playing with Young tableaux led to the development of a combinatorial architecture that underlies both these Macdonald polynomials and a branch of algebraic geometry known as Schubert calculus.

Uploaded 06-10-26

Learn more about your ad choices. Visit megaphone.fm/adchoices

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