Abstract: This is the 2nd part of a series of two talks on categorification of quantum group U_q(g) using Fukaya categories proposed by Mina Aganagic. In the first talk, we will give an introduction to the theory, focusing on the geometric setup, basic calculations and connection to representation theory; in the second talk we will discuss the TQFT structures underlying our theory, proposing the definition of Hopf(ish) category as a categorication of Kapranov-Schechtman’s factorizable perverse sheaf and primitive bialgebra. This is a joint work with Mina Aganagic, Vivek Shende, Elise LePage.