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Workshop on Moduli Spaces of Pseudo-holomorphic Curves II: June 2 – 6, 2014

Application for workshop is now closed.

Organized by Kenji Fukaya, Dusa McDuff, and John Morgan.

Dates: June 2 – 6, 2014

Attendee ListDownload Talk ScheduleView Videos

This workshop is an integral part of the program entitled “Moduli Spaces of pseudo-holomorphic curves and their applications to symplectic topology.” The program and the workshop focus on two basic approaches to understanding the structure of these moduli spaces:
(1) local finite-dimensional models derived from the local Kuranishi obstruction picture, and
(2) infinite dimensional analysis — the polyfold approach.

The purpose of this program is to examine foundational analytic and topological questions associated with these approaches, especially in key examples such as the closed case (Gromov-Witten theory), Hamiltonian- and Lagrangian-Floer theory and contact homology. The aim is to compare and contrast the approaches with each other and with alternative methods, such as those in algebraic geometry or those provided by Joyce’s derived smooth manifold theory.

This workshop provides an opportunity for those not able to attend the entire program to participate for a week in the program’s activities. This workshop, the second of two workshops tied to the program, will provide a forum to summarize the results of the semester-long activity.

This workshop is a part of the Spring 2014 program, Moduli Spaces of Pseudo-holomorphic curves and their applications to Symplectic Topology , which is organized by Kenji Fukaya, Dusa McDuff, and John Morgan. This program takes place from January 2 – June 30, 2014. 

All workshop talks and discussion periods will be held in the Simons Center Lecture Hall (Room 102).

Tea time will either be in the Simons Center Lobby or on the patio outside of the Art Gallery (weather permitting).

Workshop on Moduli Spaces of Pseudo-holomorphic Curves II Schedule

Time Title Presenters  Video
 8:00am Breakfast/registration begins (8:00am – 9:00am) SCGP Lobby and Cafe
 9:00am Motivating polyfolds I: sc-calculus Joel Fish video
10:00am Coffee Break SCGP Cafe
10:30am TBA Kenji Fukaya video
11:30am Short break
11:45am Fukaya category for monotone, cylindrical Lagrangians Octav Cornea video
12:45pm Lunch SCGP Cafe
 2:30pm Computing Gromov-Witten invariants of hypersurfaces Aleksey Zinger video
 3:30pm Tea Time SCGP Lobby


Time Title Presenters  Video
 8:00am Breakfast begins (8:00am – 9:00am) SCGP Cafe
 9:00am Motivating polyfolds II: splicings, retracts, and M-polyfolds Joel Fish video
10:00am Coffee Break SCGP Cafe
10:30am L^2-symplectic vortices and the associated invariants Bai-Ling Wang video
slides
11:30am Short Break
11:45am Fukaya category for monotone, cylindrical Lagrangians Octav Cornea video
12:45pm Lunch SCGP Cafe
 2:30pm Computing Gromov-Witten invariants of hypersurfaces Aleksey Zinger video
 3:30pm Tea Time SCGP Lobby
 4:00pm Hamiltonian Floer homology via implicit atlases John Pardon video

Time Title Presenters  Video
 8:00am Breakfast begins (8:00am – 9:00am) SCGP Cafe
 9:00am Motivating polyfolds III: polyfolds and local charts in Gromov-Witten Joel Fish video
10:00am Coffee Break SCGP Cafe
10:30am Floer trajectories and stabilizing divisors Chris Woodward video
11:30am Short break
11:45am Hamiltonian Floer homology via implicit atlases John Pardon video
12:45pm Lunch SCGP Cafe
 3:30pm Tea Time SCGP Lobby

Time Title Presenters  Video
 8:00am Breakfast begins (8:00am – 9:00am) SCGP Cafe
 9:00am Geometric composition and strip-shrinking Nate Bottman video
10:00am Coffee Break SCGP Cafe
10:30am Augmented L^2-symplectic vortices and quantum [Q, R]=0 Bohui Chen video
11:30am Short break
11:45am The Fukaya category of a Calabi-Yau manifold relative to a divisor I Nick Sheridan video
slides
12:45pm Lunch SCGP Cafe
 2:30pm Constructing the quantum invariants of singularities (FJRW invariants) Huijun Fan video
slides
 3:30pm Tea Time SCGP Lobby
 4:00pm Family Floer cohomology Mohammed Abouzaid video
 6:00pm Workshop Banquet:  Covered for all funded participants, funded locals, and registered program visitors. SCGP Cafe

Time Title Presenters  Video
 8:00am Breakfast begins (8:00am – 9:00am) SCGP Cafe
 9:00am Stabilizing divisors in practice Chris Wendl video
10:00am Coffee Break SCGP Cafe
10:30am Cylindrical contact homology of dynamically convex contact forms in three dimensions Michael Hutchings video
11:30am Short break
11:45am The Fukaya category of a Calabi-Yau manifold relative to a divisor II Tim Perutz video
12:45pm Lunch SCGP Cafe
 2:30pm Family Floer cohomology Mohammed Abouzaid video
 3:30pm Tea Time SCGP Lobby

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