Goal is to understand the use of toric degeneration and bulk deformation in the study of nondisplacability of Lagrangian tori.
References:
Intro to Lagrangian Floer:
Auroux, A beginner's introduction to Fukaya category
Smith, A symplectic prolegomenon
Pascaleff's lecture notes
Toric FOOO:
[TFOOO1] Lagrangian Floer theory on compact toric manifolds I
[TFOOO2] Lagrangian Floer theory on compact toric manifolds II: bulk deformation
[TFOOO survey] Lagrangian Floer theory on compact toric manifolds: survey
[big FOOO1] Lagrangian Intersection Floer Theory: Anomaly and Obstruction, Part I
[Ohta] Obstruction to and Deformation of Lagrangian intersection floer cohomology
Application to Lagrangian tori:
[toric degeneration] Toric degeneration and non-displaceable Lagrangian tori in S2×S2
[Wu] On an exotic Lagrangian torus in CP2
[Mak-Smith] Non-displaceable Lagrangian links in four-manifolds
[Sun] An-type surface singularity and nondisplaceable Lagrangian tori
Schedule:
4-25 Jie Min Intro to Lagrangian Floer cohomology 1
5-2 Jie Min Intro to Lagrangian Floer cohomology 2
5-9 Shuo Zhang Gromov compactness and bubbling
5-16 Liya Ouyang A_\infty algebra and deformation.
Jie Min Canonical model
5-23 Shengzhen Ning Toric manifolds
5-30 Jie Min Calculation of potential function
6-6 Jie Min Toric degeneration and gluing