Columbia Symplectic Geometry Seminar

String topology coproduct: geometric and algebraic aspects

Manuel Rivera
University of Miami
May 11, 2017
The string topology coproduct is an intersection type operation, originally described by Goresky-Hingston and Sullivan, which considers transverse self-intersections on chains of loops in a smooth manifold and splits loops at these intersection points. The geometric chain level construction of string topology operations involves deforming chains to achieve certain transversality conditions and these deformations introduce higher homotopy terms for algebraic compatibilities and properties.

Lagrangian cobordism: what we know and what is it good for

Octav Cornea
University of Montreal
October 2, 2015
I will describe how the notion of Lagrangian cobordism, introduced by Arnold in 1980, offers a systematic perspective on the study of Lagrangian topology. There are three aspects that will be emphasized: the relations with the triangulated structure of the derived Fukaya category, the connection to Seidel’s representation, cobordism based extensions of the Hofer norm. The talk is based mainly on joint work with Paul Biran (ETH).