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Homotopy Theory丨A categorial study of graph colorings

2022-06-20 10:26:38
报告人 Ye Liu 时间 16:00-17:00
地点 ZOOM 2022
月日 06-23

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).

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