Kyle Hayden (Columbia University): Exotic ribbon disks and symplectic surfaces

Abstract:

One approach to understanding the smooth topology of a 4-dimensional manifold is to study the embedded surfaces it contains. I'll construct new examples of "exotically knotted" surfaces in 4-manifolds, i.e. surfaces that are isotopic through ambient homeomorphisms but not through diffeomorphisms. We'll begin with simple examples of exotic disks in the 4-ball. Then we'll turn to the symplectic setting and exhibit new types of exotic phenomena among symplectic, holomorphic, and Lagrangian surfaces.

Please use the zoom link below to join the seminar:

Join Zoom Meeting https://zoom.us/j/95769988275

Meeting ID: 957 6998 8275