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Moduli Spaces of Nonnegative Sectional Curvature Metrics

Ponente: Wilderich Tuschmann
Institución: Karlsruhe Institute of Technology
Tipo de Evento: Investigación, Formación de Recursos Humanos
Cuándo 03/09/2015 de 13:00 a 14:30 Salon de Seminarios Graciela Salicrup vCal iCal

I will discuss spaces and moduli spaces of nonnegative sectional curvature metrics
and, in particular, recent joint work with Anand Dessai and Stephan Klaus
in which we show that in each dimension $4n+3$, $n\geq 1$,
there exist closed simply connected smooth manifolds
for which the moduli space of Riemannian metrics with nonnegative sectional curvature
has infinitely many path components. Spaces with these properties
were known before only in dimension seven, and our result
does also hold for moduli spaces of Riemannian metrics with positive Ricci curvature.