표현론 팀원 여러분께,

Jim Haglund 교수님의 강연 정보를 전달해 드립니다.

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날짜: 5. 3 (Fri), 2024 오후 2시 장소: KIAS 1423호

Title: Superization of Symmetric Functions

Abstract: Given a symmetric function G(X), and an identity expressing G as a sum of Gessel Fundamental quasisymmetric functions, one can obtain a seemingly more general identity involving two sets of variables X, Y using the technique of "superization". We overview this technique, and give some significant examples including 1) The proof of the HHL combinatorial formula for Macdonald polynomials 2) Showing how a plethystic substitution into LLT polynomials transforms fillings into nonattacking fillings. In the single-cell case, this can be interpreted as restricting weighted sums over colorings of certain graphs to weighted sums over proper colorings. --------------------------------------------------------

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