Organized By: Mohammed Abouzaid, Denis Auroux, Ron Donagi, Kenji Fukaya, Tony Pantev
Mirror symmetry’s most spectacular predictions are those about enumerative invariants of Calabi-Yau threefolds, which exhibit intricate structures when studied for all degrees and genera. This
workshop will focus on new developments whose goal is to provide a conceptual approach to the study of such invariants, and its main component will be 4 week-long lecture series:
Nicholas Sheridan: Counting curves using the Fukaya category
Kevin Costello and Si Li: The higher genus B-model
Tony Pantev: Non-commutative Hodge structures
John Pardon: Virtual fundamental cycles in Floer theory
An overall theme will be the use of categorical techniques to lift the idea of curve counting, which has a clear geometric origin in the setting of symplectic topology, to an abstract framework where it can be formulated in algebraic geometry as well, in such a way that the two sides of mirror symmetry can be directly compared. The lectures of Sheridan, Costello-Li, and Pantev will thus have, as unifying theme, the notion of using Hochschild (co)-homology and variants thereof as a receptacle for invariants of Gromov-Witten type.
The target audience for the workshop will be advanced graduate students, postdocs, and researchers in nearby subject areas.
Talk Schedule
| Time | Title | Presenter | Location |
| 9:45am | Non-commutative Hodge structures | Tony Pantev | SCGP 102 |
| 10:45am | Break | n/a | SCGP Lobby |
| 11:00am | Virtual fundamental cycles in Floer theory | John Pardon | SCGP 102 |
| 12:00pm | Lunch | N/A | SCGP Cafe |
| 1:30pm | The higher genus B model and BCOV theory | Kevin Costello | SCGP 102 |
| 2:30pm | Coffee Break | N/A | SCGP Cafe |
| 3:00pm | Genus-zero Gromov-Witten invariants from the Fukaya category | Nick Sheridan | SCGP 102 |
| Time | Title | Presenter | Location |
| 9:45am | Non-commutative Hodge structures | Tony Pantev | SCGP 102 |
| 10:45am | Break | n/a | SCGP Lobby |
| 11:00am | Virtual fundamental cycles in Floer theory | John Pardon | SCGP 102 |
| 12:00pm | Lunch | N/A | SCGP Cafe |
| 1:00pm | SCGP Weekly Talk: The higher genus B model and BCOV theory | Kevin Costello | SCGP 102 |
| 2:30pm | Coffee Break | N/A | SCGP Cafe |
| 3:00pm | Genus-zero Gromov-Witten invariants from the Fukaya category | Nick Sheridan | SCGP 102 |
| Time | Title | Presenter | Location |
| 9:45am | Non-commutative Hodge structures | Tony Pantev | SCGP 102 |
| 10:45am | Break | n/a | SCGP Lobby |
| 11:00am | The higher genus B model and BCOV theory | Kevin Costello | SCGP 102 |
| 12:00pm | N/A | Free Afternoon | SCGP |
| Time | Title | Presenter | Location |
| 9:45am | Virtual fundamental cycles in Floer theory | John Pardon | SCGP 102 |
| 10:45am | Break | n/a | SCGP Lobby |
| 11:00am | The higher genus B model and BCOV theory | Si Li | SCGP 102 |
| 12:00pm | Lunch | N/A | SCGP Cafe |
| 1:30pm | Genus-zero Gromov-Witten invariants from the Fukaya category | Nick Sheridan | SCGP 102 |
| 2:30pm | Coffee Break | N/A | SCGP Cafe |
| 3:00pm | Non-commutative Hodge structures | Tony Pantev | SCGP 102 |
| Time | Title | Presenter | Location |
| 9:45am | The higher genus B model and BCOV theory | Si Li | SCGP 102 |
| 10:45am | Break | n/a | SCGP Lobby |
| 11:00am | Genus-zero Gromov-Witten invariants from the Fukaya category | Nick Sheridan | SCGP 102 |