The h-principle and totally convex immersions

Series
Geometry Topology Seminar
Time
Monday, April 30, 2018 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Michael Harrison – Lehigh University – mah5044@gmail.comhttps://sites.google.com/site/michaelharrisonmath/
Organizer
Mohammad Ghomi
The h-principle is a powerful tool in differential topology which is used to study spaces of functionswith certain distinguished properties (immersions, submersions, k-mersions, embeddings, free maps, etc.). Iwill discuss some examples of the h-principle and give a neat proof of a special case of the Smale-HirschTheorem, using the "removal of singularities" h-principle technique due to Eliashberg and Gromov. Finally, I willdefine and discuss totally convex immersions and discuss some h-principle statements in this context.