The h-principle in symplectic geometry

Members' Seminar
Topic:The h-principle in symplectic geometry
Speaker:Emmy Murphy
Affiliation:Northwestern University; von Neumann Fellow, School of Mathematics
Date:Monday, December 9
Time/Room:2:00pm - 3:00pm/Simonyi Hall 101
Video Link:https://video.ias.edu/members/2019/1209-EmmyMurphy

Symplectic geometry, and its close relative contact geometry, are geometries closely tied to complex geometry, smooth topology, and mathematical physics. The h-principle is a general method used for construction of smooth geometric objects satisfying various underdetermined properties. In the symplectic context, h-principles typically give constructions of surprising exotica, and methods for detecting the basic flexible objects. We survey a number of results from the previous decade.