Preview
Tuesday, 29.4.14, 16:15-17:15, Raum 404, Eckerstr. 1
The area preserving curve shortening flow with Neumann free boundary conditions outside of a convex domain
Tuesday, 6.5.14, 16:15-17:15, Raum 404, Eckerstr. 1
Local solutions to a free boundary problem for the Willmore functional
Tuesday, 13.5.14, 16:15-17:15, Raum 404, Eckerstr. 1
Analysis on QAC manifolds
Tuesday, 20.5.14, 16:15-17:15, Raum 404, Eckerstr. 1
In this talk I will present a program for doing analysis on QAC spaces. These are geometries that generalize the AC (asymptotically conical) manifolds.
Willmore Fläche I
Tuesday, 27.5.14, 16:15-17:15, Raum 404, Eckerstr. 1
Willmore surfaces (after T Riviere, S Alexakis, R Mazzeo)
Tuesday, 3.6.14, 16:15-17:15, Raum 404, Eckerstr. 1
Willmore Fläche II
Tuesday, 24.6.14, 16:15-17:15, Raum 404, Eckerstr. 1
Lagrangian submanifolds and examples
Tuesday, 1.7.14, 16:15-17:15, Raum 404, Eckerstr. 1
Rigidity results, inverse curvature flows and Alexandrov-Fenchel inequalities in the sphere
Monday, 7.7.14, 16:00-17:00, Hörsaal II, Albertstr. 23b
Finite time behavior and convergence of the Calabi flow
Monday, 7.7.14, 17:30-18:30, Hörsaal II, Albertstr. 23b
In his seminal work, E. Calabi introduced the notion called extremal Kähler metrics in a fixed cohomology class of Kähler metrics. The extremal Kähler metrics are the critical points of the Calabi energy which is the \(L^2\)-norm of the scalar curvature. The Kähler-Einstein metrics and which are more general, the constant scalar curvature Kähler metrics are both extremal Kähler metrics. In the same paper, Calabi also introduced a decreasing flow of the Calabi energy, which is now well-known as the Calabi flow. The Calabi flow is expected to be an effective tool to find the extremal Kähler metrics. Unfortunately, it is believed to be difficult to understand because of its fourth order and fully nonlinearity. However, in this talk we would like to describe its finite time singularities and asymptotic behavior.\n
Rigidity properties of metric measure spaces with generalized lower Ricci curvature bounds
Monday, 21.7.14, 13:00-14:00, Raum 127, Eckerstr. 1
In this talk I will present a maximal diameter theorem for metric measure spaces that satisfy a Riemannian curvature-dimension condition. That is, if there is equality in the Bonnet-Myers estimate, the space is a spherical suspension.\nTopological rigidity results for metric measure spaces that satisfy a measure contraction property in general fail. We present a counterexample. This is a joint work with T. Rajala.
Lagrangian mean curvature flow
Monday, 21.7.14, 14:30-15:30, Raum 127, Eckerstr. 1
Mean curvature flow of pinched submanifolds in positively curved symmetric spaces
Monday, 21.7.14, 16:00-17:00, Raum 127, Eckerstr. 1
Somre results on the coupling between the Ricci flow and the mean curvature flow
Tuesday, 22.7.14, 16:15-17:15, Raum 404, Eckerstr. 1
Some results on the coupling between the Ricci flow and the mean curvature flow
Tuesday, 22.7.14, 16:15-17:15, Raum 404, Eckerstr. 1
Reilly type formula and its application to Heintze-Karcher type inequality
Tuesday, 5.8.14, 16:15-17:15, Raum 404, Eckerstr. 1
In this talk, a Heintze-Karcher type inequality will be\nshowed for compact manifolds with boundary and sectional curvature bounded below by -1. Our proof was based on a new Reilly type formula and solvability of a Dirichlet boundary value problem. The case of hyperbolic spaces was previously proved by Simon Brendle via a totally different approach. This is joint work with Guohuan Qiu.\n
Reilly type formula and its application to Heintze-Karcher type inequality
Tuesday, 5.8.14, 16:15-17:15, Raum 404, Eckerstr. 1
In this talk, a Heintze-Karcher type inequality will be showed for compact manifolds with boundary and sectional curvature bounded below by -1. Our proof was based on a new Reilly type formula and solvability of a Dirichlet boundary value problem. The case of hyperbolic spaces was previously proved by Simon Brendle via a totally different approach. This is joint work with Guohuan Qiu.