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Shun Wakatsuki: Eilenberg-Moore isomorphism

Time: Fri 2019-12-13 13.00 - 14.00

Location: Kräftriket, house 5, room 32

Participating: Shun Wakatsuki


In algebraic topology, there are many tools which translate topological information into algebraic information. The Eilenberg-Moore isomorphism is one of such tools. Roughly speaking, it converts a pullback diagram of topological spaces into a pushout diagram of (dg) algebras. In this talk, I will explain the isomorphism starting from the definitions. If time permits, I will also provide a computational example using an idea from rational homotopy theory.