Variational characteristics of pesudo-holomorphic curves in symplectic manifold
Tuesday, 30.10.12, 16:15-17:15, Raum 404, Eckerstr. 1
\nThis talk consists of two parts. First, I will give an overview on symplectic mean curvature flows. Then I will talk about a variational characteristic of pseudo-holomorphic curves in symplectic manifold. The latter one is a recent result jointed with C. Arezzo.\n
Density and regularity results for flat isometric immersions
Wednesday, 7.11.12, 16:15-17:15, Hörsaal II, Albertstr. 23b
This talk is about isometric immersions from a two-dimensional domain (endowed with the standard flat metric in R^2) into R^3. I will present in some detail the proof of the following density result: every isometric immersion with square integrable second fundamental form can be approximated by isometric immersions which are smooth up to the boundary of the domain. This result is a key ingredient, e.g., in the derivation of several thin-film models from three dimensional elasticity. \nIf time allows, I will also briefly present an optimal regularity result about isometric immersions minimizing the Willmore functional.\n
Confined structures of least bending energy
Wednesday, 5.12.12, 16:15-17:15, Hörsaal II, Albertstr. 23b
We analyze a constrained minimization problem for the Willmore energy. For a given parameter a>0 we consider smooth embeddings of the sphere into the unit ball with surface area \(a\). In this class we minimize the Willmore energy and investigate the dependence of the minimal energy value on the parameter a. (This is joint work with Stefan Müller, Bonn.)\n\n
Confined structures of least bending energy
Wednesday, 5.12.12, 16:15-17:15, Hörsaal II, Albertstr. 23b
We analyze a constrained minimization problem for the Willmore energy. For a given parameter a>0 we consider smooth embeddings of the sphere into the unit ball with surface area \(a\). In this class we minimize the Willmore energy and investigate the dependence of the minimal energy value on the parameter a. (This is joint work with Stefan Müller, Bonn.)\n
Local results for Ricci flow on regions with curvature bounded from below
Tuesday, 11.12.12, 16:15-17:15, Raum 414, Eckerstr. 1
Witten's proof of positive mass theorem
Tuesday, 18.12.12, 16:15-17:15, Raum 404, Eckerstr. 1
I'll give a talk on Witten's proof of the positive mass theorem using spinors.
Talk 1: A sharp quantitative isoperimetric inequality in higher codimension
Wednesday, 16.1.13, 16:15-17:15, Hörsaal II, Albertstr. 23b
Talk 2: A sharp quantitative isoperimetric inequality in higher codimension
Wednesday, 16.1.13, 17:30-18:30, Hörsaal II, Albertstr. 23b
Bray's proof of the Penrose conjecture
Tuesday, 5.2.13, 16:15-17:15, Raum 404, Eckerstr. 1