Summer Graduate School

The image of a large sphere isometrically embedded into a small space through a C^1 embedding. (Attributions: E. Bartzos, V. Borrelli, R. Denis, F. Lazarus, D. Rohmer, B. Thibert)

This two week summer school will introduce graduate students to the theory of h-principles.  After building up the theory from basic smooth topology, we will focus on more recent developments of the theory, particularly applications to symplectic and contact geometry, and foliation theory.

Suggested Prerequisites:

• Basic Analysis and PDE;
• elementary algebraic topology (homotopy and homology groups).
• elementary differential topology (manifolds, vector fields and differential form calculus, basic Morse theory, vector bundles and characteristic classes).