Quebec Mathematical Sciences Colloquium

March 22, 2019 from 16:00 to 18:00 (Montreal/Miami time) On location

Flexibility in contact and symplectic geometry

Colloquium presented by Emmy Murphy (Northwestern University)

We discuss a number of h-principle phenomena which were recently discovered in the field of contact and symplectic geometry. In generality, an h-principle is a method for constructing global solutions to underdetermined PDEs on manifolds by systematically localizing boundary conditions. In symplectic and contact geometry, these strategies typically are well suited for general constructions and partial classifications. Some of the results we discuss are the characterization of smooth manifolds admitting contact structures, high dimensional overtwistedness, the symplectic classification of flexibile Stein manifolds, and the construction of exotic Lagrangians in C^n.

Address

UQAM, Pavillon Président-Kennedy, 201, ave du Président-Kennedy, room PK-5115