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- ItemLanglands Correspondence and Constructive Galois Theory(Zürich : EMS Publ. House, 2014) Heinloth, Jochen; Yun, ZhiweiRecent progress in the Langlands programm provides a significant step towards the understanding of the arithmetic of global fields. The geometric Langlands program provides a systematic way to construct l-adic sheaves (resp. D-modules) on algebraic curves which subsumes the construction of classical sheaves, like rigid local systems, used in inverse Galois theory (by Belyi, Malle, Matzat, Thompson, Dettweiler, Reiter) for the construction of field extension of the rational function fields $\mathbb F_p(t)$ or $\mathbb Q(t)$ (recent work of Heinloth, Ngo, Yun and Yun). On the other hand, using Langlands correspondence for the field $\mathbb Q$, Khare, Larsen and Savin constructed many new automorphic representations which lead to new Galois realizations for classical and exceptional groups over $\mathbb Q$. It was the aim of the workshop, to bring together the experts working in the fields of Langlands correspondence and constructive Galois theory.
- ItemMathematical and Numerical Aspects of Quantum Chemistry Problems(Zürich : EMS Publ. House, 2006) Le Bris, Claude; Scuseria, GustavoThis workshop was aimed at strengthtening the interactions between well established experts in quantum chemistry, mathematical analysis, numerical analysis and computational metodology. Most of the mathematicians present in the worskhop have already contributed to the theoretical and numerical study of models in quantum physics and chemistry. Some others, familiar with contiguous fiels, were new to chemistry. Several distinguished researchers in theoretical chemistry participated in the workshop, and presented the mathematical and computational challenges of the field.
- ItemMini-Workshop: Dynamics of Nonlinear Waves(Oberwolfach-Walke : Mathematisches Forschungsinstitut Oberwolfach, 2003) Jones, Christopher; Schneider, Guido[no abstract available]
- ItemMini-Workshop: Differentiable Ergodic Theory, Dimension Theory and Stable Foliations(Zürich : EMS Publ. House, 2014) Stratmann, BerndThe mini-workshop Differentiable Ergodic Theory, Dimension Theory and Stable Foliations brought together experts in thermodynamical formalism, hyperbolic dynamics and dimension theory from several countries. The geographic representation was broad, from Europe, USA and Japan. All participants gave interesting 1-hour talks, and there was organized also an open problem session, where directions for future work and many open problems were discussed. Among the topics presented/discussed in the workshop, there were ones related to dimension theory and probability measures on fractals, various types of hyperbolicity, systems with overlaps, complex dynamics and iterated function systems.
- ItemRecent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws and their Use in Science and Engineering(Zürich : EMS Publ. House, 2012) Bijl, Hester; Meister, Andreas; Sonar, ThomasModern numerical methods for hyperbolic conservation laws rely on polynomials of high degree, mostly orthogonal polynomials, on triangular or quadrilateral meshes. Due to shocks stability is an issue and modern means of filtering like spectral viscosity is required. Additional TV-filters are needed in most cases as postprocessors and the choice of the solver for the differential equations to integrate in time is crucial. The workshop was organised to bring together researchers from different areas of mathematics in order to fuel the research on high-order efficient and robust numerical methods.
- ItemMathematische Methoden der Geometrischen Datenverarbeitung(Oberwolfach-Walke : Mathematisches Forschungsinstitut Oberwolfach, 2002) Pottmann, Helmut; Reif, Ulrich[no abstract available]
- ItemComputational Electromagnetism and Acoustics(Zürich : EMS Publ. House, 2007) Hoppe, Ronald H.W.; Joly, Patrick; Langer, UlrichIt is a moot point to stress the significance of accurate and fast numerical methods for the simulation of electromagnetic fields and sound propagation for modern technology. This has triggered a surge of research in mathematical modeling and numerical analysis aimed to devise and improve methods for computational electromagnetism and acoustics. Numerical techniques for solving the initial boundary value problems underlying both computational electromagnetics and acoustics comprise a wide array of different approaches ranging from integral equation methods to finite differences. Their development faces a few typical challenges: highly oscillatory solutions, control of numerical dispersion, infinite computational domains, ill-conditioned discrete operators, lack of strong ellipticity, hysteresis phenomena, to name only a few. Profound mathematical analysis is indispensable for tackling these issues. Many outstanding contributions at this Oberwolfach conference on Computational Electromagnetism and Acoustics strikingly confirmed the immense recent progress made in the field. To name only a few highlights: there have been breakthroughs in the application and understanding of phase modulation and extraction approaches for the discretization of boundary integral equations at high frequencies. Much has been achieved in the development and analysis of discontinuous Galerkin methods. New insight have been gained into the construction and relationships of absorbing boundary conditions also for periodic media. Considerable progress has been made in the design of stable and space-time adaptive discretization techniques for wave propagation. New ideas have emerged for the fast and robust iterative solution for discrete quasi-static electromagnetic boundary value problems.
- ItemVon Neumann Algebras and Ergodic Theory of Group Actions(Zürich : EMS Publ. House, 2008) Gaboriau, Damien; Jones, Vaughan; Popa, Sorin[no abstract available]
- ItemCombinatorics, Probability and Computing(Zürich : EMS Publ. House, 2006) Bollobas, Bela; Wegener, IngoOne of the exciting phenomena in mathematics in recent years has been the widespread and surprisingly effective use of probabilistic methods in diverse areas. The probabilistic point of view has turned out to be