|Name||Hee Jung Kim|
|Time||Jan 9 13:50~14:30|
|Title||Knotting surfaces in four-manifolds|
We will discuss the surgery operation to modify embeddinds of surfaces in four manifolds and construct "exotic surfaces" which are homeomorphic but not diffeomorphic. I also construct, for any group G satisfying some simple conditions, a simply-connected symplectic manifold containing a symplectic surface whose complement has fundamental group G. In the case, we produce infinitely many smoothly inequivalent surfaces that are equivalent up to smooth s–cobordism and hence are topologically equivalent for good groups.