17
JUNI
JUNI
A-Fri-Ka Riemannian Topology Research Seminar
Tagung / Konferenz
Spezialisiert / Akademisch
17.06.2021 14:00 - 18:00
Online
Wann?
17.06.2021 14:00 - 18:00
Organisation
Vortragende / Mitwirkende
14:00-15:00 Masoumeh Zarei (Augsburg): Intermediate Ricci, Homotopy, and Submanifolds of Symmetric Spaces
Abstract: In the spirit of combining Riemannian geometry, topology, and algebra to the study of symmetric spaces, we apply the “generalized connectedness lemma” by Guijarro-Wilhelm to certain classes of submanifolds of symmetric spaces, including totally geodesic ones, to show that within certain codimension ranges such submanifolds have the same “Cartan type” as their ambient spaces, (possibly) up to product with spheres. This is joint work with Manuel Amann and Peter Quast.
15:15-16:15 David Degen (Karlsruhe): On the topology of moduli spaces of Ricci flat metrics
Abstract: I will show that the moduli space of Ricci flat metrics on a K3 surface is simply connected and that it has non-trivial higher homotopy groups. Furthermore, by considering products of the K3 manifold with tori I will show that in any dimension>3 there are compact manifolds with non-flat Ricci flat metrics whose moduli space is simply connected with non-trivial topology.
17:00-18:00 Otis Chodosh (Stanford): Classifying sufficiently connected PSC 4, 5 manifolds
Abstract: I will discuss recent joint work with C. Li and Y. Liokumovich concerning the topological classification of PSC 4-manifolds.
Abstract: In the spirit of combining Riemannian geometry, topology, and algebra to the study of symmetric spaces, we apply the “generalized connectedness lemma” by Guijarro-Wilhelm to certain classes of submanifolds of symmetric spaces, including totally geodesic ones, to show that within certain codimension ranges such submanifolds have the same “Cartan type” as their ambient spaces, (possibly) up to product with spheres. This is joint work with Manuel Amann and Peter Quast.
15:15-16:15 David Degen (Karlsruhe): On the topology of moduli spaces of Ricci flat metrics
Abstract: I will show that the moduli space of Ricci flat metrics on a K3 surface is simply connected and that it has non-trivial higher homotopy groups. Furthermore, by considering products of the K3 manifold with tori I will show that in any dimension>3 there are compact manifolds with non-flat Ricci flat metrics whose moduli space is simply connected with non-trivial topology.
17:00-18:00 Otis Chodosh (Stanford): Classifying sufficiently connected PSC 4, 5 manifolds
Abstract: I will discuss recent joint work with C. Li and Y. Liokumovich concerning the topological classification of PSC 4-manifolds.
Anhänge
Standort
