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K-State Today Student Edition

March 1, 2018

Mathematics Colloquium Lecture today

By Reta McDermott

Yasha Eliashberg, Stanford University, will present "From Differential Topology to Symplectic and Back" as part of the Mathematics Department Colloquium Lecture series at 2:30 p.m. Thursday, March 1, in 102 Cardwell Hall.

The abstract for the lecture is: 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 a Stein complex manifold — can be viewed as the 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. Eliashberg will discuss the interplay between these two directions.