Organized by Peter Ozsvath, Yakov Eliashberg, Robert Lipshitz and Mohammed Abouzaid
The workshop will explore recent developments in symplectic topology and low-dimensional topology, with an emphasis on connections between the two. Topics will include Heegaard Floer homology and its relation to combinatorial and geometric 3-manifold topology; contact geometry and its interaction with low-dimensional topology; symplectic embedding problems and symplectic dynamics; reconceptualizations of the Fukaya category and Floer homology, and relations to mirror symmetry; and categorification and knot homologies.
Symplectic and Low Dimensional Topologies in Interaction Workshop Schedule
| Time | Title | Presenters | Video |
| 10:15am | A Khovanov Homotopy Type | Sucharit Sarkar | video |
| 11:45am | Bordered Floer homology and the Seifert form | Jen Hom | video |
| 1:00pm | Lunch | ||
| 02:15pm | Monodromy presentations via mirror symmetry | Gabe Kerr | video |
| 03:30pm | Tea | ||
| 04:00pm | SYZ mirror symmetry and the A-polynomial of the unknot | Denis Auroux | video |
| Time | Title | Presenters | Video |
| 9:00am | The stable symplectic category and quantization | Nitu Kitchloo | video |
| 10:15am | Stable pairs and the homfly polynomial | Davesh Maulik | video |
| 11:45am | Does Heegaard Floer homology tell us anything about Heegaard genus? | Yi Ni | video |
| 1:00pm | Lunch | ||
| 2:15pm | Obstruction bundles and counting holomorphic disks in Heegaard Floer homology |
John Pardon | video |
| 3:30pm | Tea | ||
| 4:00pm | Strong L-spaces | Josh Greene | video |
| Time | Title | Presenters | Video |
| 9:00am | Contact structures on 5 manifolds | John Etnyre | video |
| 10:15am | Lagrangian Cobordisms and the Fukaya Category | Hiro Lee Tanaka | video |
| 11:30pm | Categorification at prime roots of unity | Mikhail Khovanov | video |
| 1:00pm | Lunch | ||
| Time | Title | Presenters | Video |
| 9:00am | Seifert fibered Dehn filling | Cameron Gordon | video |
| 10:15am | On the symplectic invariance of log Kodaira dimension | Mark McLean | video |
| 11:45am | Invariants of transverse knots in Heegaard Floer homology | Vera Vertesi | video |
| 1:00pm | Lunch | ||
| 2:15pm | Dihedral homology and the moon | Urs Frauenfelder | video |
| 3:30pm | Tea | ||
| 4:00pm | Homological mirror symmetry for a Calabi-Yau hypersurface in projective space | Nick Sheridan | video |
| Time | Title | Presenters | Video |
| 9:00am | SU(N) gauge theory and immersed surfaces | Peter Kronheimer | video |
| 10:15am | Packings and numbers in symplectic geometry | Felix Schlenk | video |
| 11:45am | Bordered Floer homology and splicing knot complements | Adam Levine | video |
| 1:00pm | Lunch | ||
| 2:15pm | Knot Floer homology and bordered algebras | Zoltan Szabo | video |
| 3:30pm | Tea |
Confirmed List of Speakers:
Mikhail Khovanov
Gabe Kerr
Jen Hom
Denis Auroux
Nitu Kitchloo
Nicholas Sheridan
Yi Ni
Josh Greene
John Etnyre
Hiro Lee Tanaka
Cameron Gordon
Mark McLean
Vera Vertesi
Urs Frauenfelder
Peter Kronheimer
Felix Schlenk
Adam Levine
Zoltan Szabo
Sucharit Sarkar
John Pardon