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- ItemAlgebraic K-Theory and Motivic Cohomology(Zรผrich : EMS Publ. House, 2009) Huber-Klawitter, Annette; Jannsen, Uwe; Levine, MarcAlgebraic K-theory and the related motivic cohomology are a systematic way of producing invariants for algebraic or geometric structures. Its de๏ฌnition and methods are taken from algebraic topology, but it has also proved particularly fruitful for problems of algebraic geometry, number theory or quadratic forms. 19 one-hour talks presented a wide range of results on K-theory itself and applications. We had a lively evening session trading questions and discussing open problems.
- ItemMini-Workshop: The Pisot Conjecture - From Substitution Dynamical Systems to Rauzy Fractals and Meyer Sets(Zรผrich : EMS Publ. House, 2009) Damanik, David; Lenz, DanielThis mini-workshop brought together researchers with diverse backgrounds and a common interest in facets of the Pisot conjecture, which relates certain properties of a substitution to dynamical properties of the associated subshift.
- ItemAlgebraische Zahlentheorie(Zรผrich : EMS Publ. House, 2009) Kisin, Mark; Venjakob, OtmarThe workshop brought together researchers from Europe, the US and Japan, who reported on various recent developments in algebraic number theory and related ๏ฌelds. Dominant themes were p-adic methods, L-functions and automorphic forms but other topics covered a very wide range of algebraic number theory.
- ItemMini-Workshop: Category Theory and Related Fields: History and Prospects(Zรผrich : EMS Publ. House, 2009) McLarty, Colin; Wright, Michaelhe workshop concerned various topics in the history of category theory and related ๏ฌelds, paying attention to some extent also to open questions, present and possible future development.
- ItemMini-Workshop: Geometry of Quantum Entanglement(Zรผrich : EMS Publ. House, 2009) Szarek, Stanislaw; Werner, Elisabeth; Zyczkowski, KarolThe workshop aimed at developing interactions between researchers from quantum information theory and from asymptotic geometric analysis. A central notion discussed was the phenomenon of quantum entanglement, which naturally leads to geometric considerations in high-dimensional vector spaces. In these spaces, phenomena such as concentration of measure become prominent and may invalidate our low-dimensional intuition.
- ItemClassification and clustering: models, software and applications(Berlin : Weierstraร-Institut fรผr Angewandte Analysis und Stochastik, 2009) Mucha, Hans-Joachim; Ritter, GunterWe are pleased to present the report on the 30th Fall Meeting of the working group ``Data Analysis and Numerical Classification'' (AG-DANK) of the German Classification Society. The meeting took place at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, from Friday Nov. 14 till Saturday Nov. 15, 2008. Already 12 years ago, WIAS had hosted a traditional Fall Meeting with special focus on classification and multivariate graphics (Mucha and Bock, 1996). This time, the special topics were stability of clustering and classification, mixture decomposition, visualization, and statistical software.
- ItemAlgebraische Modellierung von Tonsystemen : Musiktheorie mit mathematischen Mitteln(Mรผhltal : Verl. Allgemeine Wissenschaft, 2009) Winkler, Jan ThomasDas vorliegende Buch stellt Mรถglichkeiten einer algebraischen Modellierung von Tonsystemen vor. Dazu wird zunรคchst die von Rudolf Wille und Wilfried Neumaier formulierte extensionale Standardsprache der Musiktheorie aufbereitet und ein breites Spektrum musiktheoretischer Begriffe mathematisch gefasst. Diese Begriffe werden in ihrem Bezug zu Tonsystemen dargestellt und ausfรผhrlich analysiert. Zum Abschluss des Buches wird eine Interpretation von Tonsystemen in der Kategorientheorie formuliert und eine einfache Mรถglichkeit vorgestellt, strukturerhaltende Abbildungen zwischen Tonsystem-Kategorien zu konstruieren.
- ItemMini-Workshop: Support Varieties(Zรผrich : EMS Publ. House, 2009) Krause, HenningThe notion of support is a fundamental concept which provides a geometric approach for studying various algebraic structures. The prototype for this has been Quillenโs description of the algebraic variety corresponding to the cohomology ring of a ๏ฌnite group, based on which Carlson introduced support varieties for modular representations. This has made it possible to apply methods of algebraic geometry to obtain representation theoretic information. Their work has inspired the development of analogous theories in various contexts, notably modules over commutative complete intersection rings, and over cocommutative Hopf algebras. The aim of this workshop has been to bring together experts from these ๏ฌelds and to stimulate interaction and exchange of ideas.
- ItemControl Theory: On the Way to New Application Fields(Zรผrich : EMS Publ. House, 2009) Helmke, Uwe; Sontag, EduardoControl theory is an interdisciplinary ๏ฌeld that is located at the crossroads of pure and applied mathematics with systems engineering and the sciences. Recently, deep interactions are emerging with new application areas, such as systems biology, quantum control and information technology. In order to address the new challenges posed by the new application disciplines, a special focus of this workshop has been on the interaction between control theory and mathematical systems biology. To complement these more biology oriented focus, a series of lectures in this workshop was devoted to the control of networks of systems, fundamentals of nonlinear control systems, model reduction and identi๏ฌcation, algorithmic aspects in control, as well as open problems in control.
- ItemComplex Algebraic Geometry(Zรผrich : EMS Publ. House, 2009) Kawamata, Yujiro; Tian, Gang; Viehweg, EckartThe Conference focused on several classical and novel theories in the realm of complex algebraic geometry, such as Algebraic surfaces, Moduli theory, Minimal Model Program, Abelian Varieties, Holomorphic Symplectic Varieties, Homological algebra, Kรคhler manifolds theory, Holomorphic dynamics, Quantum cohomology.