## Multivariate P- and Q-polynomial association schemes, talk by Eiichi Bannai

The talk aims to review the progress in the study of higher rank P-and Q-polynomial association schemes, starting with the foundational concepts and recent advancements as outlined in the referenced papers. It will provide explicit examples of multivariate P-and Q-polynomial association schemes and explore the implications of these developments. The discussion will draw from multiple sources, including recent significant contributions by Bernard et al. and Crampé et al., and will conclude with speculations on future directions for research in this area.

This talk is based on the two joint papers with Hirotake Kurihara (Yamaguchi University), Da Zhao (East China University of Science and Technology) and Yan Zhu (Shanghai University for Science and Technology).