Jerusalem Mathematics Colloquium

Thursday, 11th June 2009, 4:00 pm
Mathematics Building, Lecture Hall 2

Peter Storm
(U. Penn/HU)

"Hyperbolic manifolds and the Bochner technique"


The Bochner technique is one of the most important methods in Riemannian geometry. In various guises, it involves simply applying Stokes theorem to harmonic sections of geometrically defined bundles over a Riemannian manifold, and then carefully keeping track of the signs. It has a long interesting history proving rigidity theorems for locally symmetric spaces. In joint work with Steven Kerckhoff, we use this method to prove a new rigidity theorem for a large class of infinite volume hyperbolic manifolds. I will discuss the history of these ideas, and current work.

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

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