Monday, March 3, 2014 - 10:00

704 Thackeray Hall

### Abstract or Additional Information

In this series of lectures we will:

- give a complete proof of Nash's theorem on the existence of C1 isometric embeddings in codimension 2

- discuss briefly Kuiper's improvement and how to modify Nash's approach to achieve C1;embeddings

- give a complete proof of the existence of bounded nontrivial compactly supported solutions of the Euler equations, using the Baire Category method and the Lipschitz convex integration method

- draw a parallel between the two problems, motivating the second part of the course given by Laszlo Szekelyhidi Jr.