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Department of Mathematics,
University of California San Diego

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Math 290B - Toplogy Colloquium

Gerd Laures

University of Bochum, Germany

The signature is an E-infinity ring mapThe signature can be regarded as a map from oriented topological bordism

Abstract:

The signature can be regarded as a map from oriented topological bordism to symmetric L theory. We investigate its multiplicative properties and show that there is simplicial model for the signature which is a map of E symmetric ring spectra. The construction generalizes to a large class of theories which are bordism-like in a suitable sense. The work is joint with James McClure.

Host: Nitya Kitchloo

April 17, 2006

2:00 PM

AP&M 5218

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