Summer School 2015: Moduli Problems in Symplectic Geometry

Collection Summer School 2015: Moduli Problems in Symplectic Geometry

Organizer(s) J. Nelson (Columbia University and the Institute for Advanced Study), D. Cristofaro-Gardiner (Harvard University), J. Fish (Institute for Advanced Study and UMass Boston)

Date(s) 06/07/2015 - 17/07/2015

linked URL https://indico.math.cnrs.fr/event/585/

00:00:00 / 00:00:00

9 36

Fredholm theory and Deligne-Mumford spaces for witch balls

By Nathaniel Bottman

In work-in-progress with Katrin Wehrheim, we aim to bind together the Fukaya categories of many different symplectic manifolds into a single algebraic object. This object is the "symplectic A-infinity-2-category", whose objects are symplectic manifolds, and where hom(M,N):=Fuk(M-xN). At the core of our project are witch balls -- certain pseudoholomorphic quilts with figure eight singularity. I will discuss recent progress: toward the construction of the moduli space of domains on one hand, and toward establishing the Fredholm property on the other.

Information about the video

Date of recording 08/07/2015
Date of publication 15/07/2015
Institution IHES
Format MP4

Domain(s)

Symplectic Geometry

MSC codes

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