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Geometric degeneration and analytic torsion

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Metric and Analytic Aspects of Moduli Spaces

I will report on joint work with Frdric Rochon and David Sher on the analytic torsion of spaces with hyperbolic cusps and spaces with non-isolated conic singularities. In either case, by understanding the precise asymptotics of the heat kernel of a degenerating family of closed manifolds, we are able to establish a topological formula for the analytic torsion extending the Cheeger-Muller theorem.

This talk is part of the Isaac Newton Institute Seminar Series series.

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