Surveys in Combinatorics 2021

These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.

The nine survey articles in this book provide expanded accounts of plenary lectures given at the British Combinatorial Conference in July 2021. Written by leading experts in the field, they present the state of the art in several areas of contemporary interest in combinatorics.This volume contains nine survey articles based on plenary lectures given at the 28th British Combinatorial Conference, hosted online by Durham University in July 2021. This biennial conference is a well-established international event, attracting speakers from around the world. Written by some of the foremost researchers in the field, these surveys provide up-to-date overviews of several areas of contemporary interest in combinatorics. Topics discussed include maximal subgroups of finite simple groups, Hasse–Weil type theorems and relevant classes of polynomial functions, the partition complex, the graph isomorphism problem, and Borel combinatorics. Representing a snapshot of current developments in combinatorics, this book will be of interest to researchers and graduate students in mathematics and theoretical computer science.