Description
Abstract: An interesting problem in contact topology is to understand the Lagrangian surfaces that "fill" a given Legendrian knot or link in a contact 3-manifold. A key breakthrough in the past year or so has been the discovery that some families of Legendrian links have infinitely many different fillings. There are now a variety of approaches to proving results along these lines, using techniques from microlocal sheaf theory, cluster algebras, and Floer theory. I'll focus on this last approach, and describe a concrete way to construct Legendrian links with infinitely many fillings that can be distinguished using Legendrian contact homology. This is joint work with Roger Casals.
For Zoom access please contact Andras Stipsicz (stipsicz.andras[a]renyi.hu).