辫子群及相关课题系列专题报告

报 告 人：Professor Vladimir Vershinin （the Alexader Grothendieck Institute in Montpellier, France）

系列报告题目：BRAID GROUPS AND RELATED TOPICS

系列报告内容提要：

1.   Configuration spaces.

2.   Definitions of braid groups.

3.   Presentations of braid groups, pure braid groups, Markov normal form.

4.   Braid group as a subgroup of automorphism group of a free group and as amapping class group of a punctured disc.

5.   Algebraic proprieties of braid groups, theorems of Garside.

6.   Presentation of Birman, Ko and Lee.

7.   Representation of braids, theorem of Bigelow and Krammer.

8.   Theorem of Dehornoy about ordering of braid groups.

9.   Theorems of Alexander and Markov.

10.  Generalisations of braids : braids of surfaces, singular braids, virtual, groups

11.  Artin-Tits, etc.

12.  Cohomology of braids.

13.  Braid groups and Lie algebras.

14.  Brunnian braids.

报告人简介：Professor Vladimir Vershinin is a professor of mathematics at the Alexader Grothendieck Institute in Montpellier, France, and a researcher at the Sobolev Institute of Mathematics, Novosibirsk, Russia. He had hold one year visiting position in Autonoma University of Barcelona, Spain, half year positions in the IHES, Paris, France, and the Poncelet Laboratory, Moscow, Russia. His interests in Mathematics include mainly Algebraic Topology, and braid groups and their generalizations. In Aplied Mathematics he worked in the domains of Approximation Theory and Mathematical Methods in Chemistry. In is recent joint work with Wu Jie and Li Jingyan the authors studied  

connections between Brunnian braids and Lie algbras.

系列报告日程安排：

报告1

报告时间：2016年5月17日（星期二）下午3:00-5:00

报告地点：创新园大厦A1101

报告2

报告时间：2016年5月20日（星期五）下午3:00-5:00

报告地点：创新园大厦A1101

报告3

报告时间：2016年5月24日（星期二）下午3:00-5:00

报告地点：创新园大厦A1101

报告4

报告时间：2016年5月27日（星期五）下午3:00-5:00

报告地点：创新园大厦A1101

报告5

报告时间：2016年5月31日（星期二）下午3:00-5:00

报告地点：创新园大厦A1101

报告6

报告时间：2016年6月3日（星期五）下午3:00-5:00

报告地点：创新园大厦A1101

报告校内联系人：雷逢春            联系电话：84706472

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2016年5月15日