| Date |
Topic |
8/23 (Mon)
|
Introduction to symplectic structures
|
| 8/25 (Wed) |
Introduction to contact structures
|
8/30
|
Reeb vector fields, normal forms, etc.
|
9/1
|
Symplectizations, interaction between contact
structures and symplectic structures
|
9/6
|
Holiday (Labor Day)
|
| 9/8 |
Introduction to Legendrian knots (Andrei Pavelescu)
|
9/13
|
Symplectic filling |
9/15
|
More on Legendrian knots (Andrei Pavelescu)
|
9/17 (Fri)
|
Yang-Mills equations
(special lecture by Tsuyoshi Kato)
|
9/20
|
Tight vs overtwisted dichotomy; homotopy classes of
2-plane fields |
| 9/22 |
Lutz-Martinet theorem
|
9/22 (Wed), 3:30pm
|
Colloquium talk by
Ciprian Manolescu
|
9/27
|
Almost complex structures
|
9/29
|
Moduli spaces of J-holomorphic curves
|
10/4
|
Filling by holomorphic disks: tightness of fillable
contact structures; Hofer's proof of Weinstein conjecture for
overtwisted contact manifolds
|
10/6
|
Convex surfaces, Day I |
10/11
|
Convex surfaces, Day II |
10/13
|
Convex surfaces, Day III |
10/18
|
Bypasses |
10/20
|
Classification of tight contact structures on S^3 and
overtwisted contact structures (Yang Huang) |
10/25
|
More convex surface theory; sutured manifolds |
10/27
|
Complex contact structures (Jian Wang)
|
11/1
|
Open book decompositions (Guillaume Dreyer) |
11/3
|
Open books and the Giroux correspondence |
11/8
|
Legendrian surgery and
open books; construction of open books from surgery diagrams (Russell
Avdek)
|
11/10
|
Morse homology (Andrew Williams) |
11/15
|
Gromov compactness (Joseph Timmer) |
11/17
|
Hamiltonian Floer homology |
11/22
|
Legendrian contact homology (Adam Ericksen) |
| 11/24 |
Introduction to Heegaard Floer homology (Taylan Bilal) |
11/29
|
Contact invariant in Heegaard Floer homology (Yin Tian) |
12/1
|
Introduction to embedded contact homology (Russell
Avdek) |