報告題目: The 2-closure of permutation groups and the isomorphism problem for schurian coherent configurations
報 告 人: Andrey Vasilyev (索博列夫數學研究所&新西伯利亞州立大學，俄羅斯)
報告地點: 磬苑校區數學科學學院 H 306
Starting in the late 1960s, the theory of coherent configurations has now become one of the central parts of algebraic combinatorics. The main goal of this theory is to provide a common method to study symmetries of combinatorial objects. So it is not surprising that permutation groups provide a rich source of coherent configurations. In fact, there is a natural Galois correspondence between subgroups of symmetric group on a set Ωand coherent configurations defined on Ω. The closed objects with respect to that correspondence are 2-closed permutation groups and schurian coherent configurations. In this talk we concentrate on the isomorphism problem for two important classes of schurian coherent configurations: 3/2-homogeneous and of rank 3.