## Geometry Seminar - Abstracts

### Talk

Tuesday 22 February 2022, 16:00-17:00 in HG03.054

**Steffen Sagave** (RU)

*A strictly commutative model for the cochain algebra of a space*

### Abstract

The cochain algebra of a topological space is a differential graded algebra whose cohomology groups are the singular cohomology groups of the space. In this talk, I will explain how extra symmetries encoded by the category of finite sets and injections allow to construct a refined version of the cochain algebra whose multiplication is commutative in a suitable sense. This generalizes a classical construction from rational homotopy theory and provides a very fine algebraic invariant of topological spaces.
This is joint work with Birgit Richter.

(

Back to Geometry Seminar schedule)