What is the Fukaya category?

Mathematical Conversations
Topic:What is the Fukaya category?
Speaker:Octav Cornea
Affiliation:Université de Montréal; Member, School of Mathematics
Date:Wednesday, March 30
Time/Room:5:00pm - 6:00pm/Dilworth Room

The (derived) Fukaya category is a symplectic invariant developed out of work of Gromov, Floer, Fukaya, Kontsevich and Seidel that encodes the rigidity properties of Lagrangian intersections. The purpose of the talk is to discuss the construction of this invariant - this involves various interesting ``types'' of mathematics such as complex analysis, PDE's as well as homological algebra - and indicate some reasons why it is of interest.