Dexie Lin (University of Tokyo) : "Foliated Seiberg-Witten equations"

Abstract:  "The study of foliations falls largely into two parts: One can study the leaf geometry or one can study transversally elliptic operators. The leaf geometry consists of studying the individual submanifolds and how they lie within the manifold. On the other hand, the study of transversally elliptic operators was initiated in the seminal work of Atiyah. This talk will be arranged as follows: The first part will be an introduction to Riemannian foliations and transverse geometry, and the second part is a survey of the results on transversally elliptic operators, foliated gauge theory and some recent work."