KCL2025.11

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 21 (Friday)

  • 13:30 - 14:00 Registration

  • 14:00 - 15:00 Invited Talk

    • Speaker Sangwook Kim

    • Title Pattern avoidance in inversion sequences

    • Abstract An inversion sequence is an integer sequence e=(e1, e2, ... , en) satisfying 0 ≤ ei < i for each i. The study of pattern avoidance in inversion sequences was initiated independently by Corteel et al., and Mansour and Shattuck. In this talk, we provide a brief introduction and survey the enumeration of inversion sequences avoiding one or two patterns of length 3. We also provide some recent results about 102-avoiding inversion sequences.

  • 15:00 - 15:30 Coffee Break

  • 15:30 - 16:05 Slow Lightning Talks Part 1 (Up to 10 minutes each)

    • Dongsu Kim, An involution for a Catalan-tangent number identity

    • Minho Song, A class of pseudo-involutory series

    • Taehyun Eom, cddb : how it works

  • 16:05 - 16:25 Break Time

  • 16:25 - 17:00 Slow Lightning Talks Part 2 (Up to 10 minutes each)

    • JiSun Huh, I-boxes and Demazure weaves 

    • Cheolwon Heo, Non-prime graphs with the minimum number of edges

    • Meesue Yoo, Schur coefficient computation of chromatic quasisymmetric functions over SYT's

  • 17:00 - 17:30 Lightning Talks Part 3 (Open floor)

    • Introduction of attendees from Kangwon National University

  • 17:30 - 18:00 Move to accommodation (더베네치아스위트)

  • 18:00 - Dinner (중화루)

• November 22 (Saturday)

  • 08:00 - 09:30 Early Bird Excursion (공지천 유원지)

  • 09:30 - 10:00 Reception (Coffee/Bread)

  • 10:00 - 10:40 Lightning Talks Part 4  (Up to 10 minutes each)

    • Heesung Shin, Symbolic Computation on SymPy

    • Hojoon Lee, Meander problem and meandric permutations

    • Younggwang Cho, Topics of Research Interest

    • Jang Soo Kim, Combinatorics of rhombic alternative tableaux

  • 10:40 - 11:00 Group Photo

  • 11:00 - 12:00 Talk

    • Speaker Seunghyun Seo

    • Title Enumeration of (102,000)-avoiding inversion sequences

    • Abstract In this talk, we study (102,000)-avoiding inversion sequences with a fixed number of distinct elements. By introducing simple H-paths, we derive the trivariate generating function for these inversion sequences with respect to their length, number of distinct elements, and rank. As consequences, we obtain an explicit formula for the number of (102,000)-avoiding inversion sequences with fixed length and number of distinct elements and we also provide a formula for those with fixed number of distinct elements and rank. In particular, we show that the number of (102,000)-avoiding inversion sequences with a fixed number of distinct elements whose rank is zero are given by the 3-Fuss-Catalan numbers.

  • 12:30 - 13:30 Lunch (우묵길 닭갈비)

Organizer

• Seunghyun Seo, Kangwon National University