Mathematical Sciences Research Institute

Home » Workshop » Schedules » Applications of symplectic geometry to topology

Applications of symplectic geometry to topology

Math Institutes Modern Mathematics Workshop October 08, 2008 - October 09, 2008

October 08, 2008 (04:30 PM PDT - 05:30 PM PDT)
Speaker(s): Lenhard Ng
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
No Video Uploaded
Abstract In geometry and topology, there are certain structures that are very "rigid" (like Riemannian manifolds) and others that are very "flexible" (like topological manifolds). Symplectic and contact geometry lies in between these two extremes and incorporates some attractive features of both. One consequence is that symplectic techniques have recently been used, to great effect, to give combinatorial approaches to questions in topology that were previously only amenable to difficult gauge-theoretic and analytic techniques. I will introduce symplectic and contact structures and describe some recent developments linking them to the study of three-dimensional manifolds and knots.
Supplements No Notes/Supplements Uploaded
Video/Audio Files
No Video Files Uploaded