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- ItemMechanics of Materials: Mechanics of Interfaces and Evolving Microstructure(Zürich : EMS Publ. House, 2016) McDowell, David L.; Müller, Stefan; Werner, Ewald A.Emphasis in modern day efforts in mechanics of materials is increasingly directed towards integration with computational materials science, which itself rests on solid physical and mathematical foundations in thermodynamics and kinetics of processes. Practical applications demand attention to length and time scales which are sufficiently large to preclude direct application of quantum mechanics approaches; accordingly, there are numerous pathways to mathematical modelling of the complexity of material structure during processing and in service. The conventional mathematical machinery of energy minimization provides guidance but has limited direct applicability to material systems evolving away from equilibrium. Material response depends on driving forces, whether arising from mechanical, electromagnetic, or thermal fields. When microstructures evolve, as during plastic deformation, progressive damage and fracture, corrosion, stress-assisted diffusion, migration or chemical/thermal aging, the associated classical mathematical frameworks are often ad hoc and heuristic. Advancing new and improved methods is a major focus of 21st century mechanics of materials of interfaces and evolving microstructure.
- ItemMultivariate Splines and Algebraic Geometry(Zürich : EMS Publ. House, 2015) Schumaker, Larry L.; Sorokina, TatyanaMultivariate splines are effective tools in numerical analysis and approximation theory. Despite an extensive literature on the subject, there remain open questions in finding their dimension, constructing local bases, and determining their approximation power. Much of what is currently known was developed by numerical analysts, using classical methods, in particular the so-called Bernstein-B´ezier techniques. Due to their many interesting structural properties, splines have become of keen interest to researchers in commutative and homological algebra and algebraic geometry. Unfortunately, these communities have not collaborated much. The purpose of the half-size workshop is to intensify the interaction between the different groups by bringing them together. This could lead to essential breakthroughs on several of the above problems.
- 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.
- ItemMini-Workshop: Direct and Inverse Spectral Theory of Almost Periodic Operators(Zürich : EMS Publ. House, 2013) Goldstein, MichaelThis mini-workshop brought together researchers working on direct and inverse spectral theory for Schrödinger operators, Jacobi matrices, and related operators. The talks reported on recent work on these models and related ones, such as the Anderson model.
- ItemMini-Workshop: Friezes(Zürich : EMS Publ. House, 2015) Jorgensen, Peter; Morier-Genoud, SophieFrieze patterns were introduced in the early 1970s by Coxeter. They are infinite arrays of numbers in which every four neighbouring entries always satisfy the same arithmetic relation. Amazingly, friezes appear in many situations from various areas of mathematics: projective geometry, number theory, algebraic combinatorics, difference equations, integrable systems, representation theory, cluster algebras… The mini-workshop aimed to gather researchers with diverse fields of expertise to present recent developments and to discuss new directions of investigation and open problems around friezes.
- ItemRepresentations of Finite Groups(Zürich : EMS Publ. House, 2015) Geck, Meinolf; Linckelmann, Markus; Navarro, GabrielThe workshop Representations of Finite Groups was organised by Joseph Chuang (London), Meinolf Geck (Stuttgart), Markus Linckelmann (London), and Gabriel Navarro (Valencia). It covered a wide variety of aspects of the representation theory of finite groups and related objects, such as algebraic groups.
- ItemField Arithmetic(Zürich : EMS Publ. House, 2018) Pop, Florian; Stix, JakobField Arithmetic studies the interrelation between arithmetic properties of fields and their absolute Galois groups. It is an interdisciplinary area that uses methods of algebraic number theory, commutative algebra, algebraic geometry, arithmetic geometry, finite and profinite groups, and nonarchimedean analysis. Some of the results are motivated by questions of model theory and used to establish results in (un-)decidability.
- ItemFlat Surfaces and Algebraic Curves(Zürich : EMS Publ. House, 2018) Möller, Martin; Zorich, AntonThis workshop brought together two distinct communities: “flat” geometers, studying the moduli of flat surfaces, and Teichmüller dynamics, and algebraic geometers studying the moduli space of curves. While both communities study similar or often the same objects, very different viewpoints and toolboxes lead to different questions being addressed, and different progress being made. The workshop sought to educate each community about the techniques of the other, and to foster communication between the two groups. One particular focus was enumerative geometry.
- ItemC*-Algebren(Zürich : EMS Publ. House, 2010) Echterhoff, Siegfried; Rordam, Mikael; Voiculescu, Dan-VirgilThe theory of C*-algebras plays a major role in many areas of modern mathematics, like Non-commutative Geometry, Dynamical Systems, Harmonic Analysis, and Topology, to name a few. The aim of the conference “C*-algebras” is to bring together experts from all those areas to provide a present day picture and to initiate new cooperations in this fast growing mathematical field.
- ItemReactive Flows in Deformable, Complex Media(Zürich : EMS Publ. House, 2014) Nordbotten, Jan Martin; Pop, Iuliu Sorin; Wohlmuth, BarbaraMany processes of highest actuality in the real life are described through systems of equations posed in complex domains. Of particular interest is the situation when the domain is variable, undergoing deformations that depend on the unknown quantities of the model. Such kind of problems are encountered as mathematical models in the subsurface, or biological systems. Such models include various processes at different scales, and the key issue is to integrate the domain deformation in the multi-scale context. Having this as the background theme, this workshop focused on novel techniques and ideas in the analysis, the numerical discretization and the upscaling of such problems, as well as on applications of major societal relevance today.