Schedule

All lectures are held at Talstrasse 35



Precourse by K. Cieliebak, K.Mohnke and M.Schwarz (Saturday + Sunday)

May 14, Saturday


Time


Schwarz 9:00 – 10:30 Cauchy Riemann operator in symplectic and contact geometry I
Schwarz 11:00 – 12:30 Cauchy Riemann operator in symplectic and contact geometry II

Lunch break
Cieliebak 14:30 – 16:00 Deligne – Mumford Theory I



May 15, Sunday


Time


Cieliebak 9:00 – 10:30 Deligne – Mumford Theory II
Mohnke 11:00 – 12:30 The moduli spaces of symplectic geometry and the compactness result I

Lunch break
Mohnke 14:30 – 16:00 The moduli spaces of symplectic geometry and the compactness result II





Lectures by C. Abbas, H. Hofer, D. McDuff and K. Wehrheim (Monday - Friday)

Overview of Lectures

May 16, Monday


Time


Lecture 1 (Hofer) 9:00 – 10:00 Introduction
Lecture 2 (Hofer) 10:15 – 11:15 New concepts of smooth structures, Definition of a sc-structure on a Banach space
Problem session 1 (Abbas) 11:30 – 12:30 Smoothness of the Shift and some related maps

Lunch break
Lecture 3 (Hofer) 14:00 – 15:00 Splicings and Polyfolds
Lecture 4 (Wehrheim) 15:15 – 16:15 Concrete splicings and Gluings I

Coffee break
Problem session 2
(Dupont,Chance,McDuff)
16:45 – 17:45 Splicings and Polyfolds



May 17, Tuesday


Time


Lecture 5 (Wehrheim) 9:00 – 10:00 Concrete Splicing and Gluings II
Lecture 6 (Hofer) 10:15 – 11:15 Concrete polyfold charts I
Problem session 3
(Dupont,Chamce,McDuff)
11:30 – 12:30 Polyfold Charts in Morse Theory

Lunch break
Lecture 7 (Hofer) 14:00 – 15:00 Concrete polyfold charts II
Lecture 8 (Wehrheim) 15:15 – 16:15 Fredholm operators I: Contraction Germs

Coffee break
Problem session 4
(Dupont,Chamce,McDuff)
16:45 – 17:45 Polyfold Charts in Morse Theory



May 18, Wednesday


Time


Lecture 9 (Hofer) 9:00 – 10:00 Fredholm operators II: Global Theory
Lecture 10 (Abbas) 10:15 – 11:15 Cauchy Riemann operator as a Polyfold Fredholm Section I
Problem session 5
(Hofer et al.)
11:30 – 12:30 Questions and Answers

Lunch break
Problem session 6
(Wysocki)
14:00 – 15:00 Gradient flow in Morse Homology I
Problem session 7
(Wysocki)
15:15 – 16:15 Gradient flow in Morse Homology II



May 19, Thursday


Time


Lecture 11 (Hofer) 9:00 – 10:00 Cauchy Riemann Operator as a Polyfold Fredholm section II
Lecture 12 (Hofer) 10:15 – 11:15 Transversality and Perturbations
Lecture 13 (McDuff) 11:30 – 12:30 Polyfold Groupoids and Multi-Sections

Lunch break
Lecture 14 14:00 – 15:00 Fredholm Theory and Operations I
Problem session 8 (Fish, Siefring) 15:15 – 16:15 A finite-dimensional example for operations

Coffee break
Problem session 9 (Fish, Siefring) 16:45 – 17:45 Operations in the Morse Homology set-up/Floer Theory.



May 20, Friday


Time


Lecture 15 (Hofer) 9:00 – 10:00 Polyfold Fredholm Theory with Operations II
Lecture 16 (Hofer) 10:15 – 11:15 Polyfold Fredholm Theory with Operations III
Problem session 10 (Hofer et al.) 11:30 – 12:30 Questions and Answers

Lunch break
Lecture 17 (Hofer) 14:00 – 15:00 Application to SFT I
Lecture 18 (Hofer) 15:15 – 16:15 Application to SFT II

Coffee break
Problem session 11 (Hofer et al.) 16:45 – 17:45 Questions and Answers