KCL2019.08
KAIST Combinatorics Lab. Workshop
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.
Information
Title KAIST Combinatorics Lab. Workshop 2019.08 (KCL2019.08)
Date August 12 (Monday), 2019
Venue Room 31318, Sungkyunkwan University, Suwon
Program
12:00 - 13:55 Welcome reception
13:55 - 14:00 Opening Address / Message from Dennis
14:00 - 16:00 Lecture 1 by Seunghyun Seo
Title. Combinatorics on hyperplane arrangements.
Abstract. A hyperplane arrangement is a collection of finitely many affine hyperplanes in some vector space (which for us will usually be over the real numbers.) We will give an introduction to the theory of hyperplane arrangements, focusing on their combinatorial properties. Topics will include the number of regions, intersection lattices, characteristic polynomials, and graphical arrangements. Some special arrangements will be analyzed, such as the braid, Catalan, Shi and Linial arrangements. We also present some recent progress on calculating characteristic polynomials of certain hyperplane arrangements.
16:00 - 16:30 Coffee Break
16:30 - 17:30 Lecture 2 by U-keun Song
Title. Rational generating functions
Abstract. In this talk, we will review a general class of generating functions which is called rational generating functions. We will see a well-known role of rational generating functions about linear homogeneous Diophantine equations. And as an application, we will enumerate the number of nonnegative integer matrices such that every row and column sums are the same, namely, magic squares.
17:30 - 17:55 Lightning Talks (about 3 minutes for each)
17:55 - 18:00 Closing Remarks
18:00 - 20:00 Dinner
Participants
Dongsu Kim, KAIST
Seunghyun Seo, Kangwon National University
Heesung Shin, Inha University
Jang Soo Kim, Sungkyunkwan University
Sun-mi Yun, Sungkyunkwan University
U-keun Song, Sungkyunkwan University
Jihyeug Jang, Sungkyunkwan University
Taehyun Eom, KAIST
Sangwook Kim, Chonnam National University
JiSun Huh, Sungkyunkwan University
Minho Song, Sungkyunkwan University
SoHyeon Gyeong, Sungkyunkwan University
Organizer
Jang Soo Kim, Sungkyunkwan University
Host and Sponsor
Sungkyunkwan University
Applied algebra and Optimization Research Center (AORC)
National Research Foundation