KCL2024.11

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

• November 15

  • 13:30 - 14:00 Registration

  • 14:00 - 15:00 Invited Talk

    • Speaker JiSun Huh, Ajou University

    • Title Bounded Littlewood identities with a fixed number of odd rows

    • Abstract The identities, often referred to as "bounded Littlewood identities", are determinantal formulas for the sum of Schur functions indexed by partitions with bounded height. They have interesting combinatorial consequences such as connections between standard Young tableaux of bounded height and lattice walks in a Weyl chamber. Goulden gave a refinement of two bounded Littlewood identities depending on the number of odd columns of the partitions.
      In this talk, we provide a refinement of two bounded Littlewood identities depending on the number of odd rows of the partitions and give combinatorial interpretations using (marked) up-down tableaux.
      We also show that the number of standard Young tableaux with bounded height having exactly k rows of odd length equals the number of certain lattice walks.
      This is a collaboration with Jang Soo Kim, Christian Krattenthaler, and Soichi Okada.

  • 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

• Jang Soo Kim, Sungkyunkwan University