Oberseminar Geometrie, Topologie und Analysis

S. Friedl, H. Geiges, A. Lytchak, G. Marinescu, G. Thorbergsson

Wintersemester 2012/13

Freitag, 10:30-11:30, Seminarraum im Container bei der Physik



12.10.12 Stefan Suhr (Hamburg)
Geschlossene Geodätische auf Lorentzschen Flächen

Zusammenfassung: Über die Existenz und Multiplizität von geschlossenen Geodätischen in pseudo-Riemannschen Mannigfaltigkeiten ist, außer in Spezialfällen, sehr wenig bekannt. In meinem Vortrag werde ich dieses Problem im einfachsten Fall, dem von kompakten Flächen, besprechen. Ein Hauptergebnis wird beweisen, daß mindestens zwei geschlossene Geodätische existieren und diese untere Schranke optimal ist. Im Beweis, und für die Diskussion von höheren Multiplizitäten, spielt die Dynamik der lichtartigen Blätterungen eine entscheidende Rolle.
26.10.12 Liviu Ornea (Bukarest)
Blow-ups of locally conformally Kähler manifolds

Abstract: After an introduction to locally conformal geometry (definitions, examples, main theorems, main problems) I shall describe several recent results on blow-ups and blow-downs in this geometric context.
16.11.12 Marco Radeschi (Münster)
Smoothness of isometries between orbit spaces

Abstract: Given a smooth isometric action of a compact Lie group G on a Riemannian manifold M, the orbit space M/G is not in general a manifold. Nevertheless, it still inherits a metric structure (a distance function) and a "smooth structure", given by the invariant smooth functions on M. In this talk we prove that, in certain situations, the metric structure on M/G uniquely determines its smooth structure, as it happens for manifolds.
11.1.13 Pierre Bieliavsky (Louvain)
Pseudo-differential calculus for non-commutative surfaces

Abstract: We present a new notion of higher genus non-commutative surface that generalizes Rieffel's classical approach to the non-commutative torus in all its flexibility and smoothness properties.
25.1.13 Hans-Bert Rademacher (Leipzig)
Resonance of closed geodesics

Abstract: In this talk we discuss results about the existence of closed geodesics on compact and simply-connected manifolds with a Riemannian or Finsler metric. Using the Chas-Sullivan product on the homology of the free loop space in a joint paper with Nancy Hingston we obtain results about the "resonance" of closed geodesics.
1.2.13 Georgios Dimitroglou Rizell (Brüssel)
Legendrian ambient surgery and Legendrian contact homology

Abstract: A Legendrian ambient surgery is a construction which, given a framed sphere in a Legendrian submanifold together with some extra data, produces a Legendrian embedding of the manifold obtained by surgery along the sphere. We explain this construction and show its effect on Legendrian contact homology. It follows that, in the subcritical case, there is a bijective correspondence between augmentations before and after the surgery.


H. Geiges, 5.4.02