This collection of invited expository papers focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups.

The distinguished contributors include: B. Allison, D. Beltita, W. Bertram, J. Faulkner, Ph. Gille, H. Glöckner, K-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T. Ratiu, N. Scheithauer, C. Schweigert, V. Serganova, K. Styrkas, K. Waldorf, and J. Wolf.