Talks at the mathematical institute

Mario Listing:

Dirac Bündel und Dirac Operatoren

Time and place

Monday, 29.10.07, 16:15-17:15, Hörsaal II, Albertstr. 23b

Abstract

Mario Listing:

Seiberg Witten Gleichungen in N-Dimensionen

Time and place

Monday, 5.11.07, 16:15-17:15, Hörsaal II, Albertstr. 23b

Abstract

Christian Ketterer:

Kähler-Geometrie I

Time and place

Monday, 12.11.07, 16:00-17:00, Hörsaal II, Albertstr. 23b

Abstract

Ballmann, W.: "Lectures on Kähler manifolds"; Kap. 1.

Patrick Emmerich:

Kähler-Geometrie II

Time and place

Monday, 19.11.07, 16:00-17:00, Hörsaal II, Albertstr. 23b

Abstract

Ballmann, W.: "Lectures on Kähler manifolds"; Kap. 2.1-3.

Sebastian Krause:

Kähler-Geometrie III

Time and place

Monday, 26.11.07, 16:00-17:00, Hörsaal II, Albertstr. 23b

Abstract

Ballmann, W.: "Lectures on Kähler manifolds"; Kap. 2.4.

Jan Schlüter:

Kähler-Geometrie IV

Time and place

Monday, 3.12.07, 16:00-17:00, Hörsaal II, Albertstr. 23b

Abstract

Ballmann, W.: "Lectures on Kähler manifolds"; Kap. 3.

Victor Bangert:

Kähler-Geometrie V

Time and place

Monday, 10.12.07, 16:00-17:00, Hörsaal II, Albertstr. 23b

Abstract

Ballmann, W.: "Lectures on Kähler manifolds"; Kap. 4, Teil 1

Stefan Suhr:

Kähler-Geometrie VI

Time and place

Monday, 17.12.07, 16:00-17:00, Hörsaal II, Albertstr. 23b

Abstract

Ballmann, W.: "Lectures on Kähler manifolds"; Kap. 4, Teil 2

Sebastian Goette:

Kähler-Geometrie VII

Time and place

Monday, 7.1.08, 16:15-17:15, Hörsaal II, Albertstr. 23b

Abstract

Dr. Sara Azzali (Metz):

Spectral Invariants of Type ρ

Time and place

Monday, 14.1.08, 16:00-17:00, Hörsaal II, Albertstr. 23b

Abstract

Mario Listing:

Kähler Geometrie VIII

Time and place

Monday, 21.1.08, 16:15-17:15, Hörsaal II, Albertstr. 23b

Abstract

Oana Mihaela Dragulete:

Kähler and Sasakian Einstein Reduced Metrics

Time and place

Monday, 28.1.08, 16:15-17:15, Hörsaal II, Albertstr. 23b

Abstract

We will study geometric properties of Sasakian and Kähler quotients. In the\npresence of Lie group symmetries, we construct a reduction procedure for symplectic\nand Kähler manifolds using the ray preimages of the momentum map J. More\nprecisely, instead of taking as in point reduction (Weinstein-Marsden reduce spaces,usually denoted M_μ), the preimage of a momentum value μ, we take the preimage of\nR⁺μ, the positive ray of μ. We have three reasons to develop this construction. One\nis geometric: the construction of canonical Kähler reduced spaces corresponding to\na non zero momentum. By canonical we mean that the reduced Kähler structure is\nthe projection of the initial Kähler structure. And the Weinstein-Marsden reduction\nis not always canonical for Kähler manifolds. The second reason is an application tothe study of conformal Hamiltonian systems. They are mechanical, non-autonomous\nsystems with friction whose integral curves preserve, in the case of symmetries, theray pre-images of the momentum map, and not the momentum preimages used\nin the Marsden-Weinstein quotient. Finally, the third reason consists of finding\nnecessary and sufficient conditions for the ray reduced spaces of Kähler (Sasakian)-Einstein manifolds to be also Kähler (Sasakian)-Einstein. During this talk we will\nmostly concentrate on these conditions which enable us to construct new Kähler\n(Sasakian)-Einstein manifolds.\n

Miles Simon:

Kähler Geometrie IX

Time and place

Monday, 4.2.08, 16:15-17:15, Hörsaal II, Albertstr. 23b

Abstract

Ballmann, W.: "Lectures on Kähler manifolds", Kap. 7

PD Dr. Mohameden Ould Ahmedou, Tübingen:

The prescribed Q-curvature problem on riemannian four-manifolds

Time and place

Monday, 11.2.08, 16:15-17:15, Hörsaal II, Albertstr. 23b

Abstract