Time：16:00-17:00, Thursday, June 23rd, 2022
ZOOM ID：867 9822 9963
Passcode：454119
Host: Dr. Xing Gu, Institute for Theoretical Sciences, Westlake University
Speaker: Dr. Ye Liu, Xi'an Jiaotong-Liverpool University
Title: A categorial study of graph colorings
Biography：
Dr. Ye Liu obtained his PhD from Hokkaido University in 2016. Now he is an assistant professor at Xi'an Jiaotong-Liverpool University. His research interest is the mathematics around hyperplane arrangements, especially related topology and combinatorics.
Abstract:
The chromatic polynomial of a finite simple graph is one of the most important invariants of the graph. Using the concept combinatorial species by Joyal, we introduce a categorification of chromatic polynomial, called chromatic species. After presenting a formula of the chromatic species up to categorial equivalence in terms of stable partitions of the graph, we discuss some new enumerative results as well as some further questions. Joint work with Masahiko Yoshinaga (Osaka University).
