Geometry and Quantum Theory (GQT seminar).

Time and place: 9/2 at Science Center (1 Oxford Street), room 507.

Speaker: Saman Habibi Esfahani

Title: Fukaya category and gauge theory.

Abstract: After setting up some background, I will discuss the Fukaya $A_\infty$-category and several instances where it appears in gauge theory, such as in the study of flat connections on Riemann surfaces, holomorphic sections of some hyperkahler bundles, and instantons and holomorphic curves in K3 surfaces. If time permits, I will also outline potential applications of these ideas to the study of 3-manifolds and manifolds with special holonomy.