EVENT DETAILS AND ABSTRACT

Title: A new model for stable homotopy
Speaker: Mohammed Abouzaid
Speaker Info: Stanford University
Brief Description:
Special Note:
Abstract:

The stable homotopy groups of topological spaces have long been known to be isomorphic to framed bordism groups, via the Pontryagin-Thom construction. I will describe joint work with Andrew Blumberg, motivated by the desire to build foundations for Floer homotopy, which extends this relationship to the entire stable homotopy category, i.e. describing its objects, morphisms, compositions, etc from the perspective of bordism. The starting point is the problem of providing a Morse theoretic description of bordism groups. While it will be briefly mentioned, knowledge of Floer theory will not be required to understand the lecture.