Talbot 2009: Fukaya categories, mentored by Paul Seidel

These notes (and more) are also available at the Talbot wiki.

Day 1

Lagrangian submanifolds -- Rui Wang, UW Madison

Formal aspects of Floer cohomology -- Ian Le, Northwestern

A-infinity structures -- Kevin Lin, Berkeley

Stasheff polyhedra as moduli spaces -- Ryan Grady, Notre Dame

Day 2

A-infinity structures in topology -- Anatoly Preygel, MIT

Floer cohomology in the simplest case -- Hiro Tanaka, Northwestern

Product structures and A-infinity structures -- Paul Seidel

Combinatorial Fukaya categories -- Nick Sheridan, MIT

Day 3

Quantum cohomology -- Carl Mautner, UT Austin

Fano manifolds -- Maksim Maydanskiy, MIT

Hochschild cohomology -- Sheel Ganatra, MIT

Derived categories -- Sarah Kitchen, U. Utah

Day 4

Exceptional collections -- Parker Lowrey, UT Austin

Lefschetz fibrations and their Fukaya categories -- Nick Rozenblyum, MIT

Homological mirror symmetry for some Fano surfaces -- Bohan Fang, Northwestern

Discussion

Day 5

Kleinian singularities -- Lino Amorim, MIT

Fukaya categories of torus fibrations -- James Pascaleff, MIT

Matrix factorizations and mirror symmetry (details added 2/18) -- Richard Eager, UC Santa Barbara

Outlook -- Paul Seidel.