The Conley index of topological dynamical systems
 Date
 December 3 (Fri) at 16:00  18:00, 2021 (JST)
 Speaker

 Yosuke Morita (Assistant Professor, Department of Mathematics, Kyoto University)
 Venue
 via Zoom
 Language
 English
The study of topological dynamical systems, i.e. continuous selfhomeomorphisms (or continuous flows) on topological spaces, is important in both pure mathematics and applications. To each isolated invariant subset of a topological dynamical system, we can assign an invariant called the Conley index, which is (roughly speaking) a based space that describes the dynamics around the isolated invariant subset. It is used not only in the study of topological dynamical systems themselves but also in Manolescu’s construction of the SeibergWittenFloer homotopy type (a spectrumvalued (3+1)dimensional TQFT). In this talk, I am planning to explain a new construction of Conley indices, which is entirely nonhomotopical and uses only basic general topology.
*Please contact Keita Mikami or Hiroyasu Miyazaki's mailing address to get access to the Zoom meeting room.