### The h-principle and totally convex immersions

- Series
- Geometry Topology Seminar
- Time
- Monday, April 30, 2018 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Michael Harrison – Lehigh University – mah5044@gmail.com

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.