A RSK-Y Proposition

Abstract: In this talk, we will discuss two areas of mathematics, Algebra and Combinatorics, which have been paired together with great results. We present two sets of combinatorial objects which are equinumerous, the Robinson–Schensted–Knuth correspondence between these two sets, and how the RSK correspondence can produce an unexpected result about the product of two polynomials. Along the way, we examine some of the algebraic and combinatorial properties of the symmetric polynomials.

Mathematics

Audience: learners

Graduate Online Seminar Series (GOSS)

Series comments: Meeting Password: MATHGOSS

Announcement mailing list: groups.google.com/g/goss2021

Website: dzackgarza.com/GOSS/2021/

Recordings: www.youtube.com/watch?v=n3xhHlOzFPM&list=PLkscP0p2V2U5J-Gc4foDjQxVD-4c0dVU4