EVENT DETAILS AND ABSTRACT


Geometry/Physics Seminar

Title: Integrating Lie algebroids via stacks
Speaker: Professor Chenchang Zhu
Speaker Info: Berkeley
Brief Description:
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.
Date: Thursday, May 06, 2004
Time: 4:00pm
Where: Lunt 104
Contact Person: Prof. Cheolhyun Cho
Contact email: cho@math.northwestern.edu
Contact Phone: 847-467-1634
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