Fukaya category and gauge theory

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 hyperkähler 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.

For more information, please seet the seminar website: https://people.math.harvard.edu/~vkrylov/seminar1.html