578 results
Search Results
Now showing 1 - 10 of 578
- ItemHeat Kernels, Stochastic Processes and Functional Inequalities(Zürich : EMS Publ. House, 2016) Kumagai, Takashi; Saloff-Coste, Laurent; Sturm, Karl-TheodorThe general topic of the 2016 workshop Heat kernels, stochastic processes and functional inequalities was the study of linear and non-linear diffusions in geometric environments including smooth manifolds, fractals and graphs, metric spaces and in random environments. The workshop brought together leading researchers from analysis, geometry and probability, and provided an excellent opportunity for interactions between scientists from these areas at different stages of their career. The unifying themes were heat kernel analysis, mass transportation problems and functional inequalities while the program straddled across a great variety of subjects and across the divide that exists between discrete and continuous mathematics. Other unifying concepts such as the notions of metric measure space, Otto Calculus and Lott-Sturm-Villani synthetic Ricci curvature bounds played an important part in the discussions. Novel directions including the study of Liouville quantum gravity were included. The workshop provided participants with an opportunity to discuss how these ideas and techniques can be used to approach problems regarding optimal transport, Riemannian and sub-Riemannian geometry, and analysis and stochastic processes in random media.
- ItemMini-Workshop: Efficient and Robust Approximation of the Helmholtz Equation(Zürich : EMS Publ. House, 2012) Monk, Peter; Wieners, ChristianThe accurate and efficient treatment of wave propogation phenomena is still a challenging problem. A prototypical equation is the Helmholtz equation at high wavenumbers. For this equation, Babuška & Sauter showed in 2000 in their seminal SIAM Review paper that standard discretizations must fail in the sense that the ratio of true error and best approximation error has to grow with the frequency. This has spurred the development of alternative, non-standard discretization techniques. This workshop focused on evaluating and comparing these different approaches also with a view to their applicability to more general wave propagation problems.
- ItemTopological and Geometric Combinatorics(Zürich : EMS Publ. House, 2011) Kalai, Gil; Novik, Isabella; Ziegler, Günter M.The 2011 Oberwolfach meeting “Topological and Geometric Combinatorics” was organized by Anders Björner (Stockholm), Gil Kalai (Jerusalem), Isabella Novik (Seattle), and Günter M. Ziegler (Berlin). It covered a wide variety of aspects of Discrete Geometry, Topological Combinatorics, and Geometric Topology. Some of the highlights of the conference included (1) counterexamples to the Hirsch conjecture, (2) the latest results around the colored Tverberg theorem, and (3) recent developments on the complexity of the simplex algorithm.
- ItemNoncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples(Zürich : EMS Publ. House, 2010) Marcolli, Matilde; Nest, RyszardSpectral triples have recently turned out to be relevant for different approaches that aim at quantizing gravity and the other fundamental forces of nature in a mathematically rigorous way. The purpose of this workshop was to bring together researchers mainly from noncommutative geometry and loop quantum gravity –two major fields that have used spectraltriples independently so far– in order to share their results and open issues.
- ItemMini-Workshop: Chromatic Phenomena and Duality in Homotopy Theory and Representation Theory(Zürich : EMS Publ. House, 2018) Krause, Henning; Stojanoska, VesnaThis mini-workshop focused on chromatic phenomena and duality as unifying themes in algebra, geometry, and topology. The overarching goal was to establish a fruitful exchange of ideas between experts from various areas, fostering the study of the local and global structure of the fundamental categories appearing in algebraic geometry, homotopy theory, and representation theory. The workshop started with introductory talks to bring researches from different backgrounds to the same page, and later highlighted recent progress in these areas with an emphasis on the interdisciplinary nature of the results and structures found. Moreover, new directions were explored in focused group work throughout the week, as well as in an evening discussion identifying promising long-term goals in the subject. Topics included support theories and their applications to the classification of localizing ideals in triangulated categories, equivariant and homotopical enhancements of important structural results, descent and Galois theory, numerous notions of duality, Picard and Brauer groups, as well as computational techniques.
- ItemRepresentation Theory of Quivers and Finite Dimensional Algebras(Zürich : EMS Publ. House, 2014) Iyama, Osamu; Keller, Bernhard; Krause, HenningMethods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, commutative algebra, algebraic geometry and topology, and in particular the new theory of cluster algebras. The aim of this workshop was to further develop such interactions and to stimulate progress in the representation theory of algebras.
- ItemNon-Archimedean Geometry and Applications(Zürich : EMS Publ. House, 2019) Gubler, Walter; Schneider, Peter; Werner, AnnetteThe workshop focused on recent developments in non-Archimedean analytic geometry with various applications to other fields. The topics of the talks included applications to complex geometry, mirror symmetry, p-adic Hodge theory, tropical geometry, resolution of singularities, p-adic dynamical systems and diophantine geometry.
- 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.
- 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.