Thursday, 6.1.11, 17:00-18:00, Hörsaal II, Albertstr. 23b
Vafa-Witten-Abschätzung für gewisse algebraische Varietäten
Monday, 10.1.11, 16:00-17:00, Raum 404, Eckerstr. 1
ich gebe eine Einführung in Vafa-Witten Abschätzung auf Kählermannigfaltigkeiten, insbesondere für den projektiven Raum und die komplexe Quadrik.
Von der Arbeit: "A local regularity theorem for mean curvature flow" VII
Tuesday, 11.1.11, 16:15-17:15, Raum 404, Eckerstr. 1
Wilhem Süss - Mathematiker und Wissenschaftsorganisator - im "Garten echter wissenschaftlicher Forschung"
Wednesday, 12.1.11, 18:00-19:00, HS 1098, KG I
Dualitätstheorie für Britische Optionen
Thursday, 13.1.11, 11:00-12:00, Raum 232, Eckerstr. 1
Renormalized area and the Willmore functional
Thursday, 13.1.11, 17:00-18:00, Hörsaal II, Albertstr. 23b
Nakayama-Zariski decomposition, finite generation and other stories
Friday, 14.1.11, 11:00-12:00, Raum 127, Eckerstr. 1
In this talk, I will introduce the (b-divisorial) Nakayama-Zariski decomposition, and will show how, under the hypothesis of finite generation, it can be used to recover Shokurov's polytopes, to describe the relationship between different end products of the MMP on a klt pair (X, D). If time permits, I will show how these results can be used to give a different proof of the Sarkisov program.
Die Evolution genealogischer Bäume unter Neutralität
Friday, 14.1.11, 11:00-12:00, Raum 404, Eckerstr. 1
Isoperimetric inequalities for minimal submanifolds in Riemannian manifolds
Monday, 17.1.11, 16:15-17:15, Raum 404, Eckerstr. 1
Curvature estimates for surfaces with bounded mean curvature
Tuesday, 18.1.11, 16:15-17:15, Raum 404, Eckerstr. 1
In this talk I will discuss some recent results concerning estimates for the norm of the second fundamental form, |A|, for surfaces with bounded mean curvature. In particular I will show that for an embedded geodesic disk with bounded L2 norm of |A|, |A| is bounded at interior points, provided that the W^{1,p} norm of its mean curvature is sufficiently small, p>2. This is joint work with Giuseppe Tinaglia.
Curvature estimates for surfaces with bounded mean curvature
Tuesday, 18.1.11, 16:15-17:15, Raum 404, Eckerstr. 1
In this talk I will discuss some recent results concerning\nestimates for the norm of the second fundamental form, |A|, for\nsurfaces with bounded mean curvature. In particular I will show that\nfor an embedded geodesic disk with bounded L^2 norm of |A|, |A| is\nbounded at interior points, provided that the W^{1,p} norm of its mean\ncurvature is sufficiently small, p>2. This is joint work with Giuseppe Tinaglia.\n
Mathematik und Macht: Von Wählern, Ministern und Quadratwurzeln
Tuesday, 18.1.11, 19:30-20:30, Hörsaal II, Albertstr. 23b
In diesem Vortrag geht es um mathematische Modelle und Methoden zur Untersuchung von komplexen Abstimmungssystemen. Wichtige Fragen betreffen die Quantifizierung der Machtstrukturen in einem Gremium und die faire Repräsentation von Bürgern oder Staaten in (z.B. supranationalen) Gremien.\nHauptbeispiel ist der Ministerrat der EU, der ein besonders kompliziertes Abstimmungssystem besitzt. Wie sollte der Abstimmungsmechanismus im Ministerrat gestaltet werden, damit alle EU-Bürger fair repräsentiert werden? Wie weit entspricht oder widerspricht das aktuelle Abstimmungsverfahren einer fairen Machtverteilung?
Homogenization of a Navier--Stokes Type System for Electrorheological Fluid
Wednesday, 19.1.11, 16:15-17:15, Hörsaal II, Albertstr. 23b
Some fluids sharply change their rheological properties in the presence of electromagnetic field.\nThe viscous stress tensor of such fluids becomes not just a nonlinear function of the strain rate tensor \( D\)\nbut acquires a strong dependence on the spatial argument \( x\).\nAn example is provided by the tensor \(|D|^{p(x)-2}D\), where the exponent is determined by the applied electromagnetic field.\nBut, in general, the viscous stress tensor has a more complex anisotropic structure.\nA mathematical theory of electrorheological fluids is described in the book of Ruzicka, where references to experimental data can also be found.\nIt can be assumed that the electromagnetic field is periodic in \( x\) and its period is specified by a small parameter.\nIn this situation, one has to deal with a homogenization problem, and the main task of homogenization\nis to find the effective (homogenized)\nviscous stress tensor that does not depend on the spatial variable.\n
A class of statistical models related to optimal transportation
Thursday, 20.1.11, 11:00-12:00, Raum 232, Eckerstr. 1
Thursday, 20.1.11, 17:00-18:00, Hörsaal II, Albertstr. 23b
The structure of stationary one dimensional varifolds
Monday, 24.1.11, 16:15-17:15, Raum 404, Eckerstr. 1
I will present a result of Allard and Almgren, published in Invent. Math. in 1976.
Willmore minimizers with prescribed area and volume
Tuesday, 25.1.11, 16:15-17:15, Raum 404, Eckerstr. 1
Abstrakt/Konkret. Ein Gegensatzpaar geistert durch die neuere Mathematikgeschichte.
Wednesday, 26.1.11, 18:00-19:00, HS 1098, KG I
Thursday, 27.1.11, 17:00-18:00, Hörsaal II, Albertstr. 23b
Baumwertige Markov-Prozesse
Friday, 28.1.11, 11:00-12:00, Raum 232, Eckerstr. 1
Topology of Hitchin systems and Hodge theory of character varieties I
Friday, 28.1.11, 11:00-12:00, Raum 127, Eckerstr. 1
Equivariant cohomology and K-theory of flag manifolds
Monday, 31.1.11, 16:15-17:15, Raum 404, Eckerstr. 1
The manifolds of flags over the complex, quaternionic, and octonionic algebras admit group actions relative to which the equivariant cohomology and equivariant (topological, complex) K-theory rings can be expressed by formulas of localization to the fixed points of the action, so-called Goresky-Kottwitz-MacPherson type formulas.\nSuch presentations of the above mentioned rings will be discussed in the talk.