This book offers a review of the vibrant areas of geometric representation theory and gauge theory, which are characterized by a merging of traditional techniqu

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various

Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prom

Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between s

In the last decade there has been an extraordinary confluence of ideas in mathematics and theoretical physics brought about by pioneering discoveries in geometr