Introduction to the h-principle

Series: 
Geometry Topology Working Seminar
Friday, January 23, 2009 - 15:00
2 hours
Location: 
Skiles 269
,  
Ga Tech
Organizer: 
$h$-Principle consists of a powerful collection of tools developed by Gromov and others to solve underdetermined partial differential equations or relations which arise in differential geometry and topology. In these talks I will describe the Holonomic approximation theorem of Eliashberg-Mishachev, and discuss some of its applications including the sphere eversion theorem of Smale. Further I will discuss the method of convex integration and its application to proving the $C^1$ isometric embedding theorem of Nash.