On the Unit Normal Correspondence for a Monotone Divisor Complement

Explore a 66-minute lecture examining the relationship between the Fukaya category of a monotone divisor and its complement, focusing on a new Fukaya category defined through popsicle maps with Reeb orbit insertions Γ around the divisor. Delve into the deformation of this category using parameter σ and understand the Lagrangian correspondence connecting the new Fukaya category complement to the monotone Fukaya category of the divisor, demonstrated through specific examples. Learn about this ongoing collaborative research project that investigates unit normal correspondence for monotone divisor complements, conducted jointly with H. Bae, D. Choa, and W. Jeong at Seoul National University.