|Topic:||The h-principle in symplectic geometry|
|Affiliation:||Northwestern University; von Neumann Fellow, School of Mathematics|
|Date:||Monday, December 9|
|Time/Room:||2:00pm - 3:00pm/Simonyi Hall 101|
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.