On the isomorphism problem of Coxeter groups and related topics

At the conference the author gives a talk which surveys the definition, history and preceding results on the isomorphism problem of Coxeter groups (problem of deciding which Coxeter groups are isomorphic), together with backgrounds for Coxeter groups, applications of this problem and some related topics in the theory of Coxeter groups, including the author’s recent works. The author would like to express his gratitude to the conference organizers for giving the opportunity.