Topology Seminar (Introductory Talk): An introduction to Legendrian and contact submanifolds

Seminar | November 28 | 2:10-3 p.m. | 736 Evans Hall

 Roger Casals, UC Davis

 Department of Mathematics

In this talk I will give an introduction to Legendrian and contact submanifolds in the standard contact sphere. I will start by introducing the standard contact structure in the odd-dimensional spheres, and discuss some of the historical and current motivations that lead to the study of contact topology. Then, I will define contact and Legendrian submanifolds and explain the results that I find most interesting about them. These will include the interplay between contact surgery diagrams, branched covers and pseudo-holomorphic curves. This is meant to be an introductory talk, working through examples and the basics of contact topology.