Barcelona Conference on Higher Structures

Homotopical and higher-categorical methods are becoming increasingly important in areas such as geometry, topology, algebra, mathematical physics, and lately also logic and computer science. The insight can be summarized in realizing that many deep problems in these areas and elsewhere are homotopical in nature, and that native homotopical tools are necessary for a natural treatment of them as well as for obtaining viable solutions that can serve as a basis for further developments.

This conference aims at gathering experts from several related areas —equivariant, motivic, and chromatic homotopy, topological field theories, infinity categories, operadic calculus and homotopical algebras, graph homology and Grothendieck–Teichmüller groups, derived analytic geometry, elliptic cohomology— in order to foster new results and stimulate young researchers.