### Introduction to the h-principle

- Series
- Geometry Topology Working Seminar
- Time
- Friday, January 23, 2009 - 15:00 for 2 hours
- Location
- Skiles 269
- Speaker
- Mohammad Ghomi – Ga Tech

$h$-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.