"Love and Math tells the two intertwined stories of mathematics and the adventure of one man in learning it. The result is a story about how he became one of the twenty-first century's leading mathematicians, working on one of the biggest ideas to come out of mathematics in the last 50 years: the Langlands Program. As Frenkel proves, a mathematical formula can be as elegant and beautiful as a painting, a poem, or a piece of music. And the process of creating new mathematics is just that, an artistic pursuit--a deeply personal experience, which requires passion, dedication, and love. In Love and Math, Frenkel shows readers the aesthetic--and the truly powerful--side of mathematics, and enables appreciation of the field even from those who have long been terrified by it."--Provided by publisher.

The Langlands Program was conceived initially as a bridge between Number Theory and Automorphic Representations, and has now expanded into such areas as Geometry and Quantum Field Theory, tying together seemingly unrelated disciplines into a web of tantalizing conjectures. A new chapter to this grand project is provided in this book. It develops the geometric Langlands Correspondence for Loop Groups, a new approach, from a unique perspective offered by affine Kac-Moody algebras. The theory offers fresh insights into the world of Langlands dualities, with many applications to Representation Theory of Infinite-dimensional Algebras, and Quantum Field Theory. This accessible text builds the theory from scratch, with all necessary concepts defined and the essential results proved along the way. Based on courses taught at Berkeley, the book provides many open problems which could form the basis for future research, and is accessible to advanced undergraduate students and beginning graduate students.