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Permutation Groups and Coherent Configurations

发布时间:2019-04-18 作者:77779193永利官网 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.