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 |
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 |
12:45pm | Lunch | SCGP Cafe | |
2:30pm | Constructing the quantum invariants of singularities (FJRW invariants) | Huijun Fan | video |
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 |