KCL2024.05

It is a triannual (three-times-a-year) seminar organized by academic genealogy from Professor Dongsu Kim in KAIST Combinatorics Laboratory, which KCL stands for. The aim of this seminar is to bring together active combinatorialists to discuss recent and prospective advances in algebraic and enumerative combinatorics and related areas. The style of talk tends to be less formal.

Program

• May 3

  • 13:30 - 14:00 Registration

  • 14:00 - 15:00 Invited Talk

    • Speaker Jim Haglund

    • 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.

  • 15:00 - 15:30 Coffee Break

  • 15:30 - 17:00 Lightning Talks (5-10 minutes each for all participants)

  • 17:30 - 19:30 Dinner

Organizer

• Meesue Yoo, Chungbuk National University

• Cheolwon Heo, KIAS