# Shun Wakatsuki: Eilenberg-Moore isomorphism

**Time: **
Fri 2019-12-13 13.00 - 14.00

**Location: **
Kräftriket, house 5, room 32

**Participating: **
Shun Wakatsuki

### Abstract

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.