Geometry Working Seminar

Spiro Karigiannis, Pure Mathematics Department, University of Waterloo

“Differential Analysis IV: Thom-Smale Transversality”

This is the fourth in a series of talks on various aspects of differential analysis, including Fredholm theory and the index of Fredholm operators, the infinite-dimensional implicit func- tion theorem and its applications to moduli spaces, elliptic regularity, and more. This week, we use the implicit function theorem and the Sard-Smale theorem to discuss Thom-Smale transversality, which concerns the regularity of the level sets of smooth sections of vector bundles that are transverse to the zero section.

MC 5479