Thursday, 17th June 2004, 4:00 pm

Mathematics Building, Lecture Hall 2

Professor Ezra Getzler

(Northwestern University)

"Lie theory for differential graded Lie algebras

(A higher-dimensional Campbell-Hausdorff formula)"

** Abstract: **
I will present a generalization of the Lie group associated to Lie
algebras, in the context of (nilpotent) differential graded Lie algebras.
My construction generalizes a number of other known functors: the Deligne
groupoid, the Dold-Kan functor, ... In this way, I obtain the first clear
picture of how Quillen's theory of nilpotent rational homotopy types is a
generalization of Lie's correspondence for nilpotent Lie algebras.

Light refreshments will be served in the faculty lounge at 3:30.

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