KCL2019.03

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 combinatorics and related areas. The style of talk tends to be less formal.

Program

• 12:00 - 13:30 Welcome reception

  • 원조남부막국수, 강원도 춘천시 춘천로 56

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• 13:55 - 14:00 Opening Address

• 14:00 - 15:15 Lecture 1 by Jang Soo Kim

  • Title. Representations of finite groups

  • Abstract. In this lecture, we will review basic representation theory of finite groups. We will start by giving the definition of a representation of a finite group. We will learn basic notions such as irreducible representations, characters, and induced representations.

• 15:15 - 15:30 Coffee Break

• 15:30 - 16:45 Lecture 2 by Jang Soo Kim

  • Title. Representations of symmetric groups.

  • Abstract. In this lecture we study representations of symmetric groups and their connection with symmetric functions. We will see Frobenius formula for the character of an irreducible representation of the symmetric group of order n. As an application of Frobenius formula, we will derive the hook length formula for the number of standard Young tableaux of a given shape.

• 16:45 - 17:00 Group Photo and Coffee Break

• 17:00 - 17:30 Lightning Talks (about 3 minutes for each)

• 17:30 - 17:35 Closing Remarks

• 18:00 - 20:00 Dinner

  • 곰배령, 강원도 춘천시 춘천로 19

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Organizer

• Seunghyun Seo, Kangwon National University

Host and Sponsor

• Kangwon National University

• National Research Foundation