报告题目：Noncommutative differentials and pre-Lie algebras
报告人： 陶文清 ，华中科技大学
In this talk, I will present a fairly natural and easy introduction to deform a (commutative) associative algebra. Given an associative noncommutative algebra, we analysis the classical structures (like Poisson bracket, connection, etc) of which is quantisation. This approach is very dierent from the algebraic deformation theory of associative algebras introduced by Gerstenhaber (1964). In my case, I will focus on deformation of classical dierential graded algebras (a super-commutative super Hopf algebra) over Poisson-Lie group.
A large class of examples of such noncommutative deformation will be given by pre-Lie algebra, an (not necessarily associative) algebra with product such that (ab)c-(ba)c = a(bc)-b(ac). This is a joint work with Shahn Majid.