EVENT DETAILS AND ABSTRACT

Title: Integrating Lie algebroids via stacks
Speaker: Professor Chenchang Zhu
Speaker Info: Berkeley
Brief Description:
Special Note:
Abstract:

Unlike Lie algebras which can always integrate into Lie groups, Lie algebroids can not always integrate into Lie groupoids. We introduce a new object---``Weinstein groupoid'', which is a differentiable stack with groupoid-like axioms. With it, we have solved the integration problem of Lie algebroids. It turns out that every Weinstein groupoid has a Lie algebroid and every Lie algebroid can be integrated into a Weinstein groupoid. Basic terminologies such as differentiable stacks, Lie algebroids and Lie groupoids will be explained.