Combinatorics Seminar: An algebra of Klyachko, and Macdonald's reduced word identity

Wednesday, April 14, 2021 at 2:00pm to 3:00pm

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Vasu Tewari, University of Hawaii

I will talk about a q-deformation of (a presentation of) an algebra due to Klyachko, using Macdonald's reduced word identity as motivation. I will focus primarily on a q-analogue of Postnikov's mixed Eulerian numbers that arises naturally in this algebra, and provide probabilistic and combinatorial perspectives on these (re)mixed Eulerian numbers. I will finish by making connections to principal specializations of Schubert polynomials and quasisymmetric polynomials.


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Zoom Meeting ID: 949 4496 7112

Passcode: first 4 Catalan numbers

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Lecture / Talk / Workshop

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