Monotone Operatoren in Räumen mit variablen Exponenten
Tuesday, 1.2.11, 14:15-15:15, Raum 226, Hermann-Herder-Str. 10
Branch Points of Willmore Surfaces in Any Codimension
Tuesday, 1.2.11, 16:15-17:15, Raum 404, Eckerstr. 1
We consider a Willmore surface immersed in R^m with an isolated singularity of finite density at the origin. Locally, the surface is a union of finitely many graphs, each of which has a unique tangent plane \nat zero and with second fundamental form satisfying \n|A(x)| ≲ |x|^{-1+1/b-e} for all e>0,\nwhere the integer b is the maximal multiplicity of the singularity. This estimate is optimal.\nIt was originally obtained in codimension 1 by E. Kuwert & R. Schaetzle (Duke 138, 2007). The present work rests on an entirely different method \nwhich makes it possible to handle the higher codimensional situation. \n
Mathematik bei den Römern
Tuesday, 1.2.11, 19:30-20:30, Hörsaal II, Albertstr. 23b
Über anregende Aufgaben erleben Schülerinnen und Schüler exemplarische Einblicke in eine\nEpoche der Mathematikgeschichte\n\n1. Römische Zahlzeichen\n\n2. Die Geometrie der römischen Agrimensoren (Feldmesser)\n\n3. Mathematik in der Bildenden Kunst\n\n4. Die aus dem Lateinischen stammende Fachsprache\n\n5. Fragen zur Wahrscheinlichkeit\n\n
Geometric flows of abstract manifolds and hypersurfaces
Wednesday, 2.2.11, 16:15-17:15, Hörsaal II, Albertstr. 23b
Regularity of elliptic systems with antisymmetric potentials
Wednesday, 2.2.11, 17:30-18:30, Hörsaal II, Albertstr. 23b
Regeln und Zahlen oder was die Erzähllust stimuliert. Anmerkungen zur Gruppe OULIPO (Ouvroir de littérature potentielle)
Wednesday, 2.2.11, 18:00-19:00, HS 1098, KG I
Chevalley's structure theorem for algebraic groups
Thursday, 3.2.11, 17:00-18:00, Hörsaal II, Albertstr. 23b
Chevalley's theorem asserts that every connected algebraic\ngroup is an extension of an abelian variety by a connected\nlinear algebraic group. The talk will present this\nclassical\nresult (and define its various ingredients), and then\ndiscuss\nsome recent developments on the structure of algebraic\ngroups.\n
Topology of Hitchin systems and Hodge theory of character varieties II
Friday, 4.2.11, 11:00-12:00, Raum 127, Eckerstr. 1
Integrated Survival Analysis based on global Genomic and Gene Expression Profiles
Friday, 4.2.11, 11:15-12:15, Raum 404, Eckerstr. 1
While both gene expression data and global chromosomal aberration profiles have been used for survival prediction, only few studies have so far attempted an integrated analysis of these types of data. In my talk, I will present results of an integrated analysis of microarray gene expression data and array CGH data. The focus of our work was to predict patient overall and / or event-free survival in years and months, comparing the effectiveness of the different platforms, and combining their predictive power by using data from both platforms simultaneously. For this purpose, we adapted the CASPAR algorithm to handle this integrative data analysis task, and we evaluated several different methods of preprocessing the experimental data.\n\nI will show results on two tumor datasets. I will first present data from 128 patients with Neuroblastoma, a cancer of the neuronal crest cells. For these patients, both gene expression and aCGH data was acquired. I will discuss different methods of analysing this data set, and will show prediction results based on gene expression data only, array CGH data only, and the combined data. I will then show a second example of 81 previously published breast cancer patients, for which again both gene expression and aCGH data are available, essentially reconfirming the findings from the Neuroblastoma patients in a second, different tumor entity.
Regularity of isoperimetric hypersurfaces with obstacles in Riemannian manifolds
Tuesday, 8.2.11, 16:15-17:15, Raum 404, Eckerstr. 1
We consider the following variational problem (the\n"isoperimetric obstacle problem"): Let (M,g) be a smooth\nRiemannian manifold and let G be a bounded domain of\nclass C^2. Find a set of minimal 'surface area' within\nthe class of all 'sufficiently regular' subsets of G\nsubject to a volume constraint. Solutions of the\nisoperimetric obstacle problem are called isoperimetric\nregions, their boundaries are called isoperimetric\nhypersurfaces. In this talk I will discuss some regularity\nproperties of isoperimetric hypersurfaces.
Die Mathematik des Kreises in der vormodernen Welt: Ägypten und Mesopotamien im Vergleich.
Wednesday, 9.2.11, 18:00-19:00, HS 1098, KG I
Thursday, 10.2.11, 17:00-18:00, Hörsaal II, Albertstr. 23b
Syzygies of curves on K3 surfaces (joint work with G. Farkas)
Friday, 11.2.11, 11:00-12:00, Raum 127, Eckerstr. 1
Green's conjecture predicts that the shape of the Betti tables of canonical curves are completely determined by the Clifford indices. We present a proof of Green's conjecture for any smooth curve on an arbitrary K3 surface. This result has a particular interest, due to Green's hyperplane section theorem. Our result implies that the shapes of Betti tables of projective K3 surfaces are determined by the Clifford indices of corresponding hyperplane sections.\n
Group homology of SL_4 over polynomial rings
Friday, 11.2.11, 11:00-12:00, Raum 127, Eckerstr. 1
Topics in Mathematical Fluid Dynamics
Friday, 11.2.11, 13:00-14:00, Hörsaal Virologie, Hermann-Herder-Straße 11
Multiscale Problems for Reactive Flows Through Porous Media.
Friday, 11.2.11, 13:15-14:15, Hörsaal Virologie, Hermann-Herder-Straße 11
Maximal Dissipation in Equations of Evolution.
Friday, 11.2.11, 14:15-15:15, Hörsaal Virologie, Hermann-Herder-Straße 11
Discontinuous Galerkin Method for the Solution of Compressible Flow with a Wide Range of Mach Numbers.
Friday, 11.2.11, 16:00-17:00, Hörsaal Virologie, Hermann-Herder-Straße 11
Error Control and Adaptive Model Reduction.
Friday, 11.2.11, 17:00-18:00, Hörsaal Virologie, Hermann-Herder-Straße 11
Topics in Mathematical Fluid Dynamics
Saturday, 12.2.11, 09:20-10:20, Hörsaal Virologie, Hermann-Herder-Straße 11
Distributional Equations and Interfaces.
Saturday, 12.2.11, 09:30-10:30, Hörsaal Virologie, Hermann-Herder-Straße 11
Multiscale Modelling with Conservation Laws.
Saturday, 12.2.11, 11:00-12:00, Hörsaal Virologie, Hermann-Herder-Straße 11
T.B.A
Tuesday, 15.2.11, 16:15-17:15, Raum 404, Eckerstr. 1
The Pseudo-Calabi Flow
Friday, 18.2.11, 14:30-15:30, Raum 127, Eckerstr. 1
The regularity and existence of 2-valued solutions to elliptic problems
Friday, 18.2.11, 16:00-17:00, Raum 127, Eckerstr. 1