Introduction to the h-principle

Geometry Topology Working Seminar
Friday, February 6, 2009 - 3:00pm for 2 hours
Skiles 269
Mohammad Ghomi – School of Mathematics, Georgia Tech
John Etnyre

Please Note: (Please note this course runs from 3-5 pm.)

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.