# Helge Glöckner

## Introduction to Infinite-Dimensional Lie Groups

The talks shall provide an introduction to infinite-dimensional Lie groups and the underlying differential calculus in locally convex spaces.

We shall encounter the main classes of infinite-dimensional Lie groups (like linear Lie groups, mapping groups, diffeomorphism groups, and direct limits of finite-dimensional Lie groups).

We shall also distinguish certain classes of infinite-dimensional Lie groups which are well behaved, like Lie groups possessing an exponential function, locally exponential Lie groups (whose exponential function is a local diffeomorphism at 0), BCH-Lie groups, and regular Lie groups.