Topology Seminar (Introductory Talk): Surface dynamics via three-dimensional contact geometry

Seminar | April 17 | 2:10-3 p.m. | 740 Evans Hall

 Morgan Weiler, UC Berkeley

 Department of Mathematics

As context for the main talk, we will describe results of Franks and Franks-Handel in surface dynamics and state the ergodic theorem. Two- and three-dimensional dynamics are related via the notions of a global surface of section and open book decomposition, which we will introduce. To close we will discuss the ECH spectral numbers, a three-dimensional construction which can be used to study questions in surface dynamics related to those introduced at the beginning of the talk.