Monday, December 25, 2017

12:15–13:10

Schreiber 006

12:15–13:10

Schreiber 006

:: TIDY Distinguished Lecture ::

Yakov Eliashberg

Stanford University

From smooth topology to symplectic and back

There are several canonical symplectic geometric constructions which can be performed on smooth manifolds. For instance, the cotangent bundle of a smooth manifold has a canonical symplectic structure, and one can ask whether the symplectomorphism type of the cotangent bundle remembers the smooth topology of the manifold. In the opposite direction any affine *2n*-dimensional Weinstein manifold (which is the symplectic counterpart of an affine complex manifold) can be viewed as a cotangent bundle of a possibly singular *n*-dimensional complex, and one can ask whether symplectic invariants can be described in terms of smooth topology of this complex. I will discuss in the talk the interplay between these two directions.