Benson, Henning Krause and Andrzej Skowron´ski (eds.) Valuation Theory in Interaction, Antonio Campillo, Franz-Viktor Kuhlmann and Bernard Teissier (eds.) Representation Theory – Current Trends and Perspectives, Henning Krause, Peter Littelmann, Gunter Malle, Karl-Hermann Neeb and Christoph Schweigert (eds.) Functional Analysis and Operator Theory for Quantum Physics. Toyko 2011, Yujiro Kawamata (ed.) Advances in Representation Theory of Algebras, David J. Impanga Lecture Notes, Piotr Pragacz (ed.) Geometry and Arithmetic, Carel Faber, Gavril Farkas and Robin de Jong (eds.) Derived Categories in Algebraic Geometry. (eds.) Classification of Algebraic Varieties, Carel Faber, Gerard van der Geer and Eduard Looijenga (eds.) Surveys in Stochastic Processes, Jochen Blath, Peter Imkeller and Sylvie Rœlly (eds.) Representations of Algebras and Related Topics, Andrzej Skowron´ski and Kunio Yamagata (eds.) Contributions to Algebraic Geometry. Previously published: Trends in Representation Theory of Algebras and Related Topics, Andrzej Skowron´ski (ed.) K-Theory and Noncommutative Geometry, Guillermo Cortiñas et al. Articles are required to undergo a refereeing process and are accepted only if they contain a survey or significant results not published elsewhere in the literature. The individual volumes include an introduction into their subject and review of the contributions in this context. Spectral Structures and Topological Methods in Mathematics Michael Baake Friedrich Götze Werner Hoffmann EditorsĮMS Congress Reports publishes volumes originating from conferences or seminars focusing on any field of pure or applied mathematics. Spectral Structures and Topological Methods in Mathematics | Egyptienne F | Pantone 116, 287 | RB 30 mm Further examples connecting probability, analysis, dynamical systems and geometry are generating operators of deterministic or stochastic processes, stochastic differential equations, and fractals, relating them to the local geometry of such spaces and the convergence to stable and semi-stable states. An overarching method is the use of zeta functions in the asymptotic counting of sublattices, group representations etc. The local distributions of such spectra are universal, also representing the local distribution of zeros of L-functions in number theory. Notable examples are non-crossing partitions, which connect representation theory, braid groups, non-commutative probability as well as spectral distributions of random matrices. The topics are based on work done in the Collaborative Research Centre (SFB) 701. This book is a collection of survey articles about spectral structures and the application of topological methods bridging different mathematical disciplines, from pure to applied. Michael Baake, Friedrich Götze and Werner Hoffmann, Editors Relations to further conjectures and results.Ĭlassification of p-divisible groups. Representation zeta functions for unipotent group schemes.Ĭonjectures of Brumer, Gross and Stark. Zeta functions associated to groups and rings. The Morse function and its descending links.Ĭonnectivity of descending links. Higher generation in symmetric groups and braid groups. Matching complexes for graphs and surfaces. Introduction: From group theory to topology. Generalised Cartan lattices.īraid group actions on exceptional sequences.Ĭohomological localisations for the projective line. Non-crossing partitions arising in representation theory. Non-crossing partitions in Coxeter groups. Non-crossing partitions in free probability. Some global aspects of special Kähler geometry on P 1. Special Kähler geometry in local coordinates. (Weak) Harnack inequalities, and Hölder regularity.Ī decorated quasiperiodic tiling with mixed spectrum. Variational solutions to the Dirichlet problem.Įllipticity and coercivity of nonlocal operators. Nonlinear Schrödinger equations on compact manifolds. Three selected results on SPDEs.Īnalysis on metric measure spaces.Įquivariant evolution equations. Local spectral distributions.Ĭonnections between probability theory and number theory.Īnalogies between classical and free probability.įokker–Planck–Kolmogorov equations.
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