Hauptseminar Geometrie

Dr. Manuel Amann, Karlsruher Institut für Technologie

Manifolds admitting metrics of positive sectional curvature are conjectured to have a very rigid topological structure. However, this structure is still highly speculative and the strongest results in this direction are known under the assumption of Lie group actions. In this talk I shall try to illustrate this interplay between geometry, symmetry and topology. I shall present results from joint work with Lee Kennard which range from the computation of topological invariants like the Euler characteristic, the signature or the elliptic genus to classification results in various subcases. I shall also illustrate differences between approaches in small and arbitrarily large dimensions.

Donnerstag, den 21. Januar 2016 um 12:00 Uhr, in INF288, HS5 Donnerstag, den 21. Januar 2016 at 12:00, in INF288, HS5

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Professor Anna Wienhard