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Sino-Russian Mathematics Center-JLU Colloquium(2022-008)- On the cobar-construction for non-simply connected spaces

发表于: 2022-04-14   点击: 

报告题目:On the cobar-construction for non-simply connected spaces

报 告 人:Andrey Lazarev (University of Lancaster)

报告时间:2022年4月22日 16:00-18:00

报告地点:Zoom ID:862 062 0549  Password:2022


报告摘要: The cobar-construction produces a differential graded (dg) algebra out of a dg coalgebra. When applied to the coalgebra of simplicial chains on a simply-connected space X, the resulting dg algebra models the chain algebra on the based loop space of X. This is a classical result of Adams and it has been known for over 60 years. In a recent breakthrough development, American mathematicians Rivera and Zeinalian removed the simple-connectivity assumption.  In this talk, I will explain Rivera-Zeinalian’s result, discuss its generalizations and connections with infinity-categories.

报告人简介:Andrey Lazarev is a professor of pure mathematics in the University of Lancaster. His recent research deals with homotopy theory of differential graded algebras and categories, derived categories and higher phenomena. It has applications in rational homotopy theory, theory of operads and operadic algebras, algebraic topology and pure algebra. Andrey Lazarev is the Managing Editor of the journal《Bulletin of the London Mathematical Society》, as well as a Member of the Editorial Board of  the journal《Higher_Structures》.