Event Series
Event Type
Seminar
Monday, April 11, 2022 4:00 PM
Mohammed Abouzaid (Columbia/Stanford)

Abstract: Cohen, Jones, and Segal formalised the structure of the
moduli spaces that appear in Floer theory as a "flow category." I will
define this notion, and then explain how to associated to a flow
category (of oriented manifold) a collection of bordism groups. These
bordism groups will later be revealed to be the homotopy groups of the
associated "Floer spectrum," but we do not need any sophisticated
notions of homotopy theory (i.e. spectra) in order to define them. In
particular, this lecture will (again) be essentially independent of
the preceding ones.