Permutation Groups and Coherent Configurations

发布时间：2019-04-18 作者：浏览次数：

Speaker:	Andrey Vasil'ev	DateTime:	2019年4月18日（周四）下午3:30-4:30
Brief Introduction to Speaker: Andrey Vasil'ev ，Professor of Sobolev Institute of Mathematics, Russia 。		Place:	六号楼二楼报告厅
Abstract: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 Ω and coherent configurations defined on Ω. The closed objects with respect to that correspondence are 2-closed permutation groups and schurian coherent configurations. In our talk, we will discuss these notions from various points of view: algebraic, combinatorial, algorithmic.