Program
(You can download a PDF version here)
UPDATED ON 05.12.18---Videos now available! (click on [video] in the titles)
UPDATED ON 26.10.18---Final order of talks
UPDATED ON 23.08.18---Lecture notes now available!
NEW!: Literature and lecture notes for the lecture series by H. Hofer & J. Fish (for the links, see "Literature" in the menu on the left).
All lectures take place in the lecture hall T-1001 (for the directions, see "Practical Info" in the menu on the left).
Precours: August 25-26, 2018
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| 10:00 - 11:30 | Kai Cieliebak - Symplectic Field Theory [ video] | |
| Moduli spaces in SFT, algebraic structures, transversality problems. | ||
| 13:00 - 14:30 | Alexandru Doicu - Sc-calculus [ video] | |
| Sc-Banach spaces, sc-smoothness, reparametrization action, chain rule, sc-manifolds. | ||
| 15:00 - 16:30 | Alexandru Doicu - Sc-Fredholm theory [ video] | |
| Contraction and basic germs, sc-Fredholm germs, implicit function theorem, sc+ perturbations, transversality and compactness of perturbed solution spaces. | ||
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10:00 - 11:30 |
Wolfgang Schmaltz - Retracts [ video] | |
| Gluing and antigluing, retractions and retracts, smooth maps between retracts, example: gluing of half-cylinders. | ||
| 13:00 - 14:30 | Benjamin Filippenko - M-polyfolds [ video] | |
| Local models of M-polyfolds, strong bundles, sc-Fredholm sections (in particular fillings), with or without isotropy. | ||
| 15:00 - 16:30 |
Zhengyi Zhou - Groupoids and polyfolds [ video] |
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| M-polyfolds, polyfolds, bundles, sections via groupoids and functors, multi-section functors and perturbed zero sets. |
Main Workshop: August 27 - 31, 2018
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| 08:30 - 09:00 | Registration | |
| 09:00 - 10:30 | Helmut Hofer | |
| Big Picture I & II [ video] | ||
| 10:30 - 11:00 | Coffee Break | |
| 11:00 - 12:30 | Joel Fish | |
| Local-Local Theory I & II [ video] | ||
| 14:30 - 15:30 | Michael Jemison | |
| Lego Pieces with an application to Deligne-Mumford Spaces with Boundary 1 [ video] | ||
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15:30 - 16:00 |
Coffee Break | |
| 16:00 - 17:00 | Dusa McDuff | |
| Branched Orbifold models of Polyfold Fredholm sections [ video] | ||
| 17:00 - 18:00 | Jake Solomon | |
| Inductive extension of multisections [ video] | ||
| 18:00 - 20:00 | Reception | |
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09:00 - 10:30 |
Helmut Hofer | |
| Big Picture III & IV [ video] | ||
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10:30 - 11:00 |
Coffee Break | |
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11:00 - 12:30 |
Joel Fish | |
| From Local-Local to Local I & II [ video] | ||
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14:30 - 15:30 |
Michael Jemison | |
| Lego Pieces with an application to Deligne-Mumford Spaces with Boundary 2 [ video] | ||
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15:30 - 16:00 |
Coffee Break | |
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16:00 - 17:00 |
Benjamin Filippenko | |
| Fiber products of polyfolds and the PSS morphism [ video] | ||
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17:00 - 18:00 |
Michael Hutchings | |
| Obstruction bundle gluing [ video] | ||
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19:00 - 21:00 |
City Tour | |
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09:00 - 09:45 |
Joel Fish | |
| From Local-Local to Local III [ video] | ||
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09:45 - 10:30 |
Helmut Hofer | |
| From Local to Global I [ video] | ||
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10:30 - 11:00 |
Coffee Break | |
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11:00 - 11:45 |
Helmut Hofer | |
| From Local to Global II [ video] | ||
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11:45 - 12:30 |
Helmut Hofer | |
| Perturbation Theory and Transversality I | ||
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Afternoon |
Free | |
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09:00 - 10:30 |
Helmut Hofer | |
| Perturbation Theory and Transversality II & III [ video] | ||
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10:30 - 11:00 |
Coffee Break | |
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11:00 - 12:30 |
Helmut Hofer | |
| Perturbation Theory and Transversality IV & V [ video] | ||
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14:30 - 15:30 |
Tobias Ekholm | |
| Open Gromov-Witten theory, skein modules, large N duality, and knot contact homology [ video] | ||
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15:30 - 16:00 |
Coffee Break | |
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16:00 - 17:00 |
Wolfgang Schmaltz | |
| Gromov-Witten Axioms for Symplectic Manifolds via Polyfold Theory [ video] | ||
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17:00 - 18:00 |
Dan Cristofaro-Gardiner | |
| Refined asymptotics for the ECH spectrum [ video] | ||
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| 09:00 - 10:30 | Zhengyi Zhou | |
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Quotients of polyfolds, equivariant fundamental class and localization [ video] | |
| 10:30 - 11:00 | Coffee Break | |
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| 11:00 - 12:30 | Katrin Wehrheim | |
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Family polyfold theory and adiabatic limits [ video] | |