Structure and Homotopy of Configuration Spaces

Overview

SHoCoS is a fundamental mathematics project at the intersection of algebraic topology, homotopical algebra, and quantum algebra. It studies configuration spaces—spaces of pairwise distinct points in a manifold—and the rich operadic structures that organize their topology.

The project aims to construct new stabilization phenomena for configuration spaces and to use this structure to compute topological field theories arising from deformation quantization. It is funded by the Agence Nationale de la Recherche, hosted by Université Paris Cité, and managed by the CNRS at IMJ-PRG.