Homotopy Theory and Floer Homology

Floer homology was introduced roughly forty years ago by Andreas Floer as
an infinite-dimensional generalization of Morse homology, and since then
it has become a major tool in fields like symplectic topology, dynamics
and low dimensional topology.  A natural question, anticipated by Floer
and first seriously explored by Cohen-Jones-Segal in the mid 1990s, asks
whether Floer homology can be interpreted as the singular homology of
a space and whether there exist Floer versions of other cohomology
theories.  Cohen-Jones-Segal proposed an approach to this question by
lifting Floer homology to a stable homotopy type.

In the years following the original work of Cohen-Jones-Segal, these ideas
lay mostly dormant in the symplectic community. However, there has been
renewed
progress in recent years, and the field is now undergoing rapid development.

The goal of this conference is to bring together a diverse group of
researchers interested in Floer homotopy theory, and more broadly the
applications of homotopy theory to Floer theory, with the aim of
disseminating the latest developments in the field and fertilizing new
collaborations.

Recorded seminars: