Homological Mirror Symmetry and Higher Genus Invariants: May 22-26, 2017

ScheduleAttendee List

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


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