Jerusalem Mathematics Colloquium

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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