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学术报告:Twisted cohomology of A-infinity algebras
编辑:发布时间:2017年12月04日

报告人:李维萍教授(美国Oklahoma州立大学教授、西南交通大学数学学院院长)

报告题目:Twisted cohomology of A-infinity algebras

报告时间:20171208日下午15:30

报告地点:海韵行政楼B313

摘要:We study the twisted cohomology groups of A_\infty-algebras defined by twisting elements and their behavior under morphisms and homotopies using the bar construction. We define higher Massey products on the cohomology groups of general  A_\infty-algebras and establish the naturality under morphisms and their dependency on defining systems. The above constructions are also considered for C_\infty-algebras. We construct a spectral sequence converging to the twisted cohomology groups and show that the higher differentials are given by the A_\infty-algebraic Massey products. This is a joint work with Siye Wu.

学院联系人:谭绍滨教授


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