EVENT DETAILS AND ABSTRACT


Geometry/Physics Seminar

Title: Floer homotopy without spectra
Speaker: Mohammed Abouzaid
Speaker Info: Columbia University
Brief Description: Research Talk
Abstract:

Meeting ID: 922-4351-6463

Meeting Password: first word of the name of the seminar

Abstract: The construction of Cohen-Jones-Segal of Floer homotopy types associated to appropriately oriented flow categories extracts from the morphisms of such a category the data required to assemble an iterated extension of free modules (in an appropriate category of spectra). I will explain a direct (geometric) way for defining the Floer homotopy groups which completely bypasses the algebra. The key point is to work on the geometric topology side of the Pontryagin-Thom construction. Time permitting, I will also explain joint work in progress with Blumberg for building a spectrum from the new point of view, as well as various generalisations which are relevant to Floer theory.

Date: Thursday, May 14, 2020
Time: 2:00pm
Where: Meeting ID: 922-4351-6463
Contact Person: Bahar Acu
Contact email:
Contact Phone:
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