KCL2021.07

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

• July 28

  • 14:00 - 14:25 Ice-breaking Talks

  • 14:25 - 14:30 Opening Address

  • 14:30 - 15:20 Lecture by Ae Ja Yee

    • Title. The Rogers–Ramanujan–Gordon identities and their overpartition analogues

    • Abstract. An overpartition is an integer partition in which the first occurrence of a part may be overlined. Overpartitions were first studied by P. A. MacMahon, but they have received a lot of attention for the past two decades due to the work of Corteel and Lovejoy. We can find many interesting results analogous to well-known partition theorems in the literature. In this talk, I will first review overpartitions and their properties. I will then present some overpartition analogues of the Rogers–Ramanujan–Gordon–Andrews–Bressoud identities.

  • 15:30 - 17:00 Lightning Talks (about 5 minutes for each)

  • 17:00 - 17:10 Closing Remarks

Organizer

• Heesung Shin, Inha University

• Seunghyun Seo, Kangwon National University

Sponsor

• National Research Foundation of Korea