Geometry and Analysis Seminar

Mon, 27/10/2008
14:15
Esther Cabezas-Rivas (Warwick) Geometry and Analysis Seminar Add to calendar L3
Mon, 03/11/2008
14:15
Nigel Hitchin (Oxford) Geometry and Analysis Seminar Add to calendar L3
Mon, 10/11/2008
14:15
Thomas Schick (Goettingen) Geometry and Analysis Seminar Add to calendar
K-Theory Day Add to calendar
L3
Let M be a closed spin manifold. Gromov and Lawson have shown that the presence of certain "enlargeable" submanifolds of codimension 2 is an obstruction to the existence of a Riemannian metric with positive scalar curvature on M. In joint work with Hanke, we refine the geoemtric condition of "enlargeability": it suffices that a K-theoretic index obstruction of the submanifold doesn't vanish. A "folk conjecture" asserts that all index type obstructions to positive scalar curvature should be read off from the corresponding index for the ambient manifold M (this this is equivalent to a small part of the strong Novikov conjecture). We address this question for the obstruction above and discuss partial results.
Mon, 17/11/2008
14:15
Gerard Laumon (CNRS and Universite Paris-Sud) Geometry and Analysis Seminar Add to calendar L3
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