Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Augsburger Mathematisches Kolloquium

 

Priv.Doz. Dr. Manuel Amann
KIT Karlsruhe

 
spricht am
 
Dienstag, 30. Mai 2017
 
um
 
17:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»A story of positive curvature and topology«

Abstract:
Manifolds admitting metrics of positive sectional curvature are conjectured to have a very rigid topological structure. However, this structure is still highly speculative and most results in this direction are known under the assumption of Lie group actions. In this talk I shall try to depict this interplay between geometry, symmetry and topology on the level of prerequisites, techniques and results. Illustrating several variants of these synergies (varying in detail), I shall present results from joint work with Lee Kennard and Wolfgang Ziller respectively which deal with the topic of submersion structures, the concept of geometric formality, Euler characteristic and signature, questions from index theory and generalised versions of conjectures by Hopf in this context.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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