# Manchester Geometry Seminar 2011/2012

Thursday 1 December 2011. The Frank Adams Room (Room 1.212), the Alan Turing Building. 4.15pm

## Models for Function Spaces Andrey Lazarev (University of Leicester)

al179@leicester.ac.uk

We construct rational homotopy models for spaces of maps (continuous or smooth), where $X$ and $Y$ are topological spaces or manifolds satisfying some mild technical conditions. The result is formulated in terms of standard homological algebra and relies on the theory of Maurer-Cartan moduli and Maurer-Cartan twisting which is of independent interest.