Home   Overview   Faculty   Research   Undergraduate Programs   Graduate Programs   Position Available   Contact Us

Previous Next
 
Home >> Seminar

From Bar construction to quantum groups, and back to (co)homology via braidings.

Prof. Marc Rosso
Sunday, November 25th, 2018, 8:00 AM  闵行数学楼401报告厅
 
报告人简介:Rosso是著名Hopf代数与量子群专家。他博士毕业于Stasbourg大学,现为巴黎七大教授。他是法国巴黎高等师范学校数学系前任系主任,Bourbaki学派成员。他的文章发表在顶尖杂志Invent. Math.等国际杂志上,具有巨大的学术影响力。

Abstract: The Bar construction for an associative algebra involves the classical cofree coalgebra, with a suitable coderivation. Extending the context to the category of Hopf bimodules over a Hopf algebra, one gets a cofree coalgebra whose universal property provides a product (quantum shuffle) involving braidings. Specific examples lead to a simple construction of quantum groups. Quantized (co)shuffles also lead to complexes on tensor powers of braided vector spaces. Given an algebra A, there is a natural map s on its tensor square such that (A, s) being a braided vector space is equivalent to associativity of A. Then the associated complex is exactly the Hochschild complex. (The last part is work of V. Lebed).

主持人:周国栋副教授
主办单位:数学科学学院科技处
   
 
 
Links >>
 
Resources >>
 
 
  Other Links >>    Shanghai Mathematical Society    Chinese Mathematical Society    American Mathematical Society    The European Mathematical Society  
         
       Copyright 2012 All rights reserved    Department of Mathematics, East China Normal University    Tel: 86-21-54342609