FS Wintersemester 2005/2006
Die Vorträge finden Dienstags in der Zeit von 09.00 - 11.00 Uhr statt.
Raum: III.007, Rudower Chaussee 25
18.10.2005 |
Helge Joergensen (Odense, Dk) Para-quaternionic Geometries. |
25.10.2005 |
Richard Cleyton (HU Berlin) Connections with parallel torsion. |
01.11.2005 |
John Sullivan (TU Berlin) Embedded Surfaces of Constant Mean Curvature. |
08.11.2005 |
Richard Cleyton (HU Berlin) Differential Gerstenhaber Algebras on 6-dimensional nilmanifolds. |
15.11.2005 |
Hyun Seok Yang (Physik, HU Berlin) ALE Spaces from U(1) Instantons. |
22.11.2005 |
Kris Galicki (New Mexico) Geometric structures on 5-manifolds. |
29.11.2005 |
P. Somberg / V. Soucek (Prague) Somberg: Symmetry algebras of some operators and their associated ideals in universal enveloping algebras. Soucek: Subcomplexes in Bernstein-Gelfand-Gelfand sequences. |
06.12.2005 |
Rares Rasdeaconu (U Southern Denmark / U Michigan Kaehler manifolds of positive curvature. |
13.12.2005 |
Stefan Ivanov (Sofia) Curvature of G_2-manifolds - first applications. |
03.01.2006 |
Klaus-Dieter Kirchberg (HU Berlin) Integrabilitätsbedingungen für fast Kählersche 4-Mannigfaltigkeiten. |
10.01.2006 |
Iskander Taimanov (Novosibirsk) Surfaces in three-dimensional Lie groups. |
17.01.2006 | kein Seminar - Winterschule in Srni |
24.01.2006 |
Martin Schlichenmaier (Luxemburg) Berezin Toeplitz quantization of the moduli space of flat SU(N) connections. |
31.01.2006 |
Ulrich Krähmer (Warschau) Principal fibre bundles and vector bundles in noncommutative geometry. |
07.02.2006 - ausgefallen, verschoben auf den 18.04.2006 |
Jan Plefka (AEI Potsdam / HU Physik) Recent developments in the AdS/CFT correspondence. |
14.02.2006 |
Michal Godlinski (Warschau) On three-dimensional Weyl structures with reduced holonomy. |
Zusatzvortrag am 27.02.2006 |
Peter Michor (Wien) The geometry of the space of planar shapes - geodesics and curvature. This is based on jont work with David Mumford and is inspired by the needs of pattern recognition and image analysis. The L2 or H0 metric on the space of smooth plane regular closed curves induces vanishing geodesic distance on the quotient Imm(S1,R2)/Diff(S1). This is a general phenomenon and holds on all full diffeomorphism groups and spaces Imm(M,N)/Diff(M) for a compact manifold M and a Riemanninan manifold N. Thus we have to consider more complicated Riemannian metrics using lenght or curvature, and we do this is a systematic Hamiltonian way, we derive geodesic equation and split them into horizontal and vertical parts, and compute all conserved quantities via the momentum mappings of several invariance groups (Reparameterizations, motions, and even scalings). The resulting equations are relatives of well known completely integrable systems (Burgers, Camassa Holm, Hunter Saxton). If time permits I shall also report on generalizations to higher dimensions of some of the forgoing results, in particular on the vanishing of the geodesic distance. |
aktualisiert am 07.02.2006