From Analysis to Homotopy Theory

This conference will focus on the deep and beautiful interactions between Analysis and Homotopy Theory, that is, the emergence and useful application of homotopy-theoretic methods in Analysis as well as the analytical approaches to problems in Algebraic Topology. We aim to celebrate specifically the fantastic development of K-theory and Index Theory. This started primarily as a field in Analysis more than 50 years ago and has obtained spectacular applications over the years by gradually involving more of the ideas and methods of Algebraic Topology, Operator Algebras, and Homotopy Theory. This combination of ideas, methods, and applications has shown a deep impact on further fields.