Geometry/Physics Seminar

Title: Differential graded Banach algebras and Lie infinity-groupoids (joint work with Kai Behrend)
Speaker: Ezra Getzler
Speaker Info: Northwestern
Brief Description:
Special Note:

We develop a generalization of Kuranishi's construction of the analytic germ of deformations of a holomorphic vector bundle where the vector bundle is replaced by a complex of vector bundles. We introduce a natural infinity-category whose objects are the Maurer-Cartan elements of a differential graded Banach algebra. We show that the quasi-isomorphisms in this category form a Lie infinity-groupoid: this is a topological version of a result of Joyal. One of the main goals of the talk is to explain what a Lie infinity-groupoid is (generalizing the definition given by Henriques).
Date: Tuesday, April 12, 2011
Time: 4:00pm
Where: Lunt 103
Contact Person: Ezra Getzler
Contact email: getzler@northwestern.edu
Contact Phone:
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