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- ItemAnalysis and Quantum Theory(Zürich : EMS Publ. House, 2005) Derezinski, Jan; Solovej, Jan-PhilipThe MFO-Workshop 0538 Analysis and Quantum Theory focussed on problems in mathematical physics, especially those connected to quantum field theory. Several theoretical physicists introduced a mostly mathematically oriented audience to topics in theoretical physics such as perturbative quantum field theory and fractional quantum Hall effect, thus bridging the gap between theoretical physics and mathematics. Apart from these reviews, a selection of research reports on recent results in mathematical physics was presented.
- ItemAnalysis and Geometric Singularities(Zürich : EMS Publ. House, 2005) Mazzeo, Rafe; Piazza, PaoloThis workshop focused on several of the main areas of current research concerning analysis on singular and noncompact spaces. Topics included harmonic analysis and Hodge theory on, and the theory of compactifications of, locally symmetric spaces, new topological techniques in index theory, nonlinear elliptic problems related to metrics with special geometry, and various more traditional problems in spectral geometry concerning estimation of eigenvalues and the spectral function.
- ItemMini-Workshop: Convergence of Adaptive Algorithms(Zürich : EMS Publ. House, 2005) Carstensen, Carsten; Dörfler, WillyAdaptive refinement strategies are a key concept for the efficient numerical solution of partial differential equations. New findings allow the study of convergence and optimality of adaptive finite element methods. It was the aim of the Oberwolfach to discuss necessary conditions for optimal convergence and to extend the theory to new areas of application.
- ItemMini-Workshop: Dynamics of Cocycles and One-Dimensional Spectral Theory(Zürich : EMS Publ. House, 2005) Johnson, Russell; Lenz, DanielMany spectral questions about one-dimensional Schrödinger operators with quasi-periodic potentials can be reduced to dynamical questions about certain quasi-periodic SL(2, R)-valued cocycles. This connection has recently been employed to prove a number of long-standing conjectures. The aim of this mini-workshop was to bring together people from both spectral theory and dynamical systems in order to further develop and exploit the dynamical approach to quasi-periodic Schrödinger operators.
- ItemMini-Workshop: Analysis and Computation of Microstructures in Finite Plasticity(Zürich : EMS Publ. House, 2005) Conti, Sergio; Ortiz, MichaelPlastic material behaviour is typically the result of the interaction of complex substructures on a microscopic scale. Common models of finite plasticity are based on macroscopic, phenomenological approaches and do not take into account any microstructural information. The miniworkshop focuses on the application of methods from the calculus of variations to models for microstructures in plasticity. In particular, the investigation of the relaxation of the underlying functional, corresponding to quasiconvexification of the energy density, allows us to gain interesting microscopic as well as macroscopic information.
- ItemMini-Workshop: Analytical and Numerical Methods in Image and Surface Processing(Zürich : EMS Publ. House, 2005) Reif, Ulrich; Rumpf, Martin; Schröder, PeterThe workshop successfully brought together researchers from mathematical analysis, numerical mathematics, computer graphics and image processing. The focus was on variational methods in image and surface processing such as active contour models, Mumford-Shah type functionals, image and surface denoising based on geometric evolution problems in image and surface fairing, physical modeling of surfaces, the restoration of images and surfaces using higher order variational formulations.
- ItemMini-Workshop: Aspects of Ricci-Flow(Zürich : EMS Publ. House, 2005) Ilmanen, Tom; Huisken, GerhardThe workshop studies Hamilton-Ricciflow of Riemannian metrics on 3-manifolds. The participants give detailed technical lectures on recent work of G. Perelman concerning a priori estimates and surgeries during the flow. The workshop was able to verify major sections of Perelman’s work and identified points that need a more detailed exposition.
- ItemMini-Workshop: Gerbes, Twisted K-Theory and Conformal Field Theory(Zürich : EMS Publ. House, 2005) Mickelsson, Jouko; Schweigert, ChristophThe aim of the mini-workshop was to bring together people whose work in mathematics and mathematical physics centers around geometry and topology applicable in modern string theory. More specifically, whose interests are in one or another way connected to gerbes and twisted K-theory and their applications in topological field theory, conformal field theory and M -theory.
- ItemCohomology of Finite Groups: Interactions and Applications(Zürich : EMS Publ. House, 2005) Carlson, Jon F.; Henn, Hans-WernerThis is a report on a meeting on interactions and applications of the cohomology of finite groups. Besides several talks on the cohomology of finite groups there were talks on related subjects, in particular on the cohomology of infinite groups, on the theory of transformation groups and pcompact groups, on modular representation theory and commutative algebra. MSC classification: 20-06, 55-06, 57-06
- ItemDifferentialgeometrie im Großen(Zürich : EMS Publ. House, 2005) Seidel, Paul; Tian, GangThe meeting continued the biannual conference series Differentialgeometrie im Großen at the MFO which was established in the 60’s by Klingenberg and Chern. While global Riemannian geometry with its connections to geometric analysis and topology remained an important focus of the conference, this time special emphasis was given to complex and symplectic geometry.