Invertibility and differential graded Banach algebras


Ezra Getzler


Northeastern University

Thursday, March 26, 2015


Talk at 4:30 p.m. in 509 Lake Hall

Tea at 4:00 p.m. in 553 Lake Hall


Abstract: It is well-known that the invertible elements of a Banach algebra form an open subset of the Banach algebra, and thus a Lie group. In joint work with K. Behrend, this result has been generalized to differential graded Banach algebras. We show how this leads to a generalization of Kuranishi's construction of the moduli space of deformations of a complex vector bundle on a compact manifold (solutions of the Kodaira-Spencer equation moduli gauge equivalence), for complexes of vector bundles.

Here are some directions to Northeastern University. Lake Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street.

There is free parking available for people coming to the Colloquium at Northeastern's visitor parking (Rennaisance Garage). The entrance is from Columbus Avenue. If coming by car, you should park there and take the parking talon. After the lecture, you may pick up the payment coupon from Ivan Losev.

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Posted: February 28, 2015    URL: