Organiser(s):
José Moreno-Fernández & Felix Wierstra
Date:
Thu, 2019-05-09 09:30 - Fri, 2019-05-10 15:00
Details:
Program and
Abstracts of Conference on "Higher Homotopy Algebras in Topology", May 9 - 10, 2019
Conference on "Higher Homotopy Algebras in Topology", May 9 - 10, 2019
Algebras up to homotopy, or homotopy algebras, such as $A_\infty$, $C_\infty$, $E_\infty$ and $L_\infty$, play an increasingly important role in many areas of mathematics and physics, like topology, mathematical physics, and deformation theory. Let us mention a few examples of interest. Homotopy Lie algebras, also known as $L_\infty$-algebras, have been essential in Kontsevich's proof of deformation quantization. In algebraic topology, $C_\infty$ and $L_\infty$-algebras arise as structures governing the rational homotopy type of spaces, and $E_\infty$-(co)algebras naturally appear as an algebraic structure on infinite loop spaces and on the singular (co)chains of any space. Recent advances in this line include the use of higher homotopy algebras to model all sorts of interesting spaces, such as mapping spaces, sections of fiber bundles, configuration spaces, among many others.
This mini-conference focuses on the most recent developments and applications of homotopy algebras in topology.
Organizers
José Moreno-Fernández (MPIM Bonn)
Felix Wierstra (MPIM Bonn)
Provisory list of speakers:
English
Deutsch