Wilhelm Killing Kolloquium: Prof. Dr. Mohammed Abouzaid (Columbia University) via ZOOM: Homotopical methods in Floer theory
Thursday, 11.11.2021 16:30 im Raum ZOOM
The free loop space of a symplectic manifold is equipped
with a canonical (multivalued) functional, which assigns to a
1-parameter family of loops the area of the cylinder that they sweep.
Floer's insight that one can assign a homology group to this context
by an appropriate reformulation of Morse theory led to a
revolution in symplectic topology. Applied to toy examples, Floer's
homology groups agree with ordinary homology. I will discuss an
extension of Floer's idea to generalised cohomology theories. This was
first envisioned by Floer himself, but the area of symplectic topology
has finally reached the stage where we have concrete applications,
which I will describe.
Angelegt am Tuesday, 26.10.2021 11:39 von N. N
Geändert am Tuesday, 02.11.2021 11:48 von N. N
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