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.