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- ItemGeometrie(Zürich : EMS Publ. House, 2006) Burago, Yuri; Pinkall, UlrichThe program covered a wide range of new developments in geometry. To name some of them, we mention the topics “Metric space geometry in the style of Alexandrov/Gromov”, “Polyhedra with prescribed metric”, “Willmore surfaces”, “Constant mean curvature surfaces in three-dimensional Lie groups”. The official program consisted of 21 lectures and included four lectures by V. Schroeder (Zürich) and S. Buyalo (Sankt-Petersburg) on “Asymptotic geometry of Gromov hyperbolic spaces”.
- ItemPDE and Materials(Zürich : EMS Publ. House, 2006) James, Richard D.; Müller, StefanThis meeting brought together a carefully selected group of mathematicians, physicists, material scientists and engineers to discuss and review the impact of modern mathematical methods on the understanding of material behaviour and the design of new materials. A key issue is that the material behaviour is determined by physical processes at many different spatial and temporal scales which cannot be simulataneously resolved by brute force computation. Central themes of the meeting were (spatial) microstructures, the relation between atomistic and continuum models, the treatment of multiple temporal scales, and the influence of randomness and the use of methods from statistical mechanics.
- ItemCoagulation and Fragmentation Models(Zürich : EMS Publ. House, 2007) Norris, James; Wagner, WolfgangAnalysis of coagulation and fragmentation is crucial to understanding many processes of scientific and industrial importance. In recent years this has led to intensified research activities in the areas of differential equations, probability theory, and combinatorics. The purpose of the workshop was to bring together people from these different areas working on various aspects of coagulation and fragmentation. We believe that the insights resulting from the interactions which have been stimulated that week should lead to further advances both in the development of mathematical techniques and in new applications.
- ItemSingularities(Zürich : EMS Publ. House, 2009) van Straten, Duco; Vassiliev, Victor A.Local/global Singularity Theory is concerned with the local/global structure of maps and spaces that occur in differential topology or theory of algebraic or analytic varieties. It uses methods from algebra, topology, algebraic geometry and multi-variable complex analysis.
- ItemSingularities(Zürich : EMS Publ. House, 2006) van Straten, Duco; Vassiliev, Victor A.noindent This is the report of the Oberwolfach Workshop on singularity theory held in september 2006. Singularity theory is concerned with the local structure of maps and spaces that occur in many situations in mathematics. It uses methods from algebra, topology and algebraic geometry for their study.
- ItemGeometry and Arithmetic around Hypergeometric Functions(Zürich : EMS Publ. House, 2008) Yoshida, Masaaki; Wolfart, Jürgen[no abstract available]
- ItemHomotopy Theory(Zürich : EMS Publ. House, 2007) Greenlees, John; Schwede, StefanAlgebraic topology in general and homotopy theory in particular is in an exciting period of growth and transformation, driven in part by strong interactions with algebraic geometry, mathematical physics, and representation theory, but also driven by new approaches to our classical problems. This workshop was a forum to present and discuss the latest result and ideas in homotopy theory and the connections to other branches of mathematics. Central themes of the workshop were derived algebraic geometry, homotopical invariants for ring spectra such as topological Hochschild homology, interactions with modular representation theory, group actions on spaces and the closely-related study of the classifying spaces of groups.
- ItemArbeitsgemeinschaft mit aktuellem Thema: Twisted K-Theory(Zürich : EMS Publ. House, 2006) Freed, Dan; Schick, ThomasThe “Arbeitsgemeinsschaft mit aktuellem Thema ‘Twisted KTheory’ ” gave an introduction to several aspects of twisted K-theory. It started with a couple of different definitions of twisted K-theory, suitable in situations of varying complexity from spaces to topological stacks. Then the AG presented tools of calculations like Chern characters with values in the corresponding twisted ordinary cohomology theories, and example calculations e.g. for Lie groups, or via T-duality. The program culminated in the theorem of Freed-Hopkins-Teleman calculating equivariant twisted K-theory of simple Lie groups in term of the Verlinde algebra of loop group representations.
- ItemNichtkommutative Geometrie(Zürich : EMS Publ. House, 2004) Cuntz, Joachim; Rieffel, Marc A.These notes contain the extended abstracts of talks given at the meeting on ’noncommutative geometry’ in September 2004. The range of topics includes index theory, algebraic and topological K-theory, cyclic homology, quantum groups, spectral triples, the Baum-Connes conjecture as well as number theory, dynamical systems and mathematical physics.
- 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.