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    Mini-Workshop: Women in Mathematics: Historical and Modern Perspectives
    (Zürich : EMS Publ. House, 2017) Oswald, Nicola; Tobies, Renate
    The aim of the workshop is to build a bridge between research on the situation of women in mathematics at the beginning of coeducative studies and the current circumstances in academia. The issue of women in mathematics has been a recent political and social hot topic in the mathematical community. As thematic foci we place a double comparison: besides shedding light on differences and similarities in several European countries, we complete this investigation by comparing the developments of women studies from the beginnings. This shall lead to new results on tradition and suggest improvements on the present situation.
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    Algebraic Statistics
    (Zürich : EMS Publ. House, 2017) Kahle, Thomas; Sturmfels, Bernd; Uhler, Caroline
    Algebraic Statistics is concerned with the interplay of techniques from commutative algebra, combinatorics, (real) algebraic geometry, and related fields with problems arising in statistics and data science. This workshop was the first at Oberwolfach dedicated to this emerging subject area. The participants highlighted recent achievements in this field, explored exciting new applications, and mapped out future directions for research.
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    Algebraic K-theory and Motivic Cohomology
    (Zürich : EMS Publ. House, 2016) Huber-Klawitter, Annette; Jannsen, Uwe; Levine, Marc
    Algebraic $K$-theory and motivic cohomology have developed together over the last thirty years. Both of these theories rely on a mix of algebraic geometry and homotopy theory for their construction and development, and both have had particularly fruitful applications to problems of algebraic geometry, number theory and quadratic forms. The homotopy-theory aspect has been expanded significantly in recent years with the development of motivic homotopy theory and triangulated categories of motives, and $K$-theory has provided a guiding light for the development of non-homotopy invariant theories. 19 one-hour talks presented a wide range of latest results on many aspects of the theory and its applications.
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    Mini-Workshop: Fast Solvers for Highly Oscillatory Problems
    (Zürich : EMS Publ. House, 2016) Börm, Steffen; Le Borne, Sabine; Martinsson, Per-Gunnar
    The efficient numerical solution of highly oscillatory problems is one of the grand challenges of Applied Mathematics with diverse applications across the natural sciences and engineering. This workshop brings together experts in domain based methods and integral equation methods to share novel ideas and to discuss challenges on the way to developing efficient solvers at high frequencies.
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    Mini-Workshop: Spaces and Moduli Spaces of Riemannian Metrics
    (Zürich : EMS Publ. House, 2017) Tuschmann, Wilderich
    The mini-workshop focused on central questions and new results concerning spaces and moduli spaces of Riemannian metrics with lower or upper curvature bounds on open and closed manifolds and, moreover, related themes from Anosov geometry. These are all described in detail below. The event brought together young and senior researchers working about (moduli) spaces of negative and nonnegative sectional, nonnegative Ricci and positive scalar curvature as well as Anosov metrics, and the talks and discussions brought about many new and inspiring research problems to pursue.
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    Algebraic Geometry: Birational Classification, Derived Categories, and Moduli Spaces
    (Zürich : EMS Publ. House, 2017) Huybrechts, Daniel; Siebert, Bernd; Xu, Chenyang
    The workshop covered a number of active areas of research in algebraic geometry with a focus on derived categories, moduli spaces (of varieties and sheaves) and birational geometry (often in positive characteristic) and their interactions. Special emphasis was put on hyperkähler manifolds and singularity theory.
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    Mini-Workshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations
    (Zürich : EMS Publ. House, 2016) Ehrlich, Philip; Kuhlmann, Salma
    New striking analogies between H. Hahn’s fields of generalised series with real coefficients, G. H. Hardy’s field of germs of real valued functions, and J. H. Conway’s field No of surreal numbers, have been lately discovered and exploited. The aim of the workshop was to bring quickly together experts and young researchers, to articulate and investigate current key questions and conjectures regarding these fields, and to explore emerging applications of this recent discovery.
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    Algebraic Cobordism and Projective Homogeneous Varieties
    (Zürich : EMS Publ. House, 2016) Levine, Marc; Panin, Ivan; Vishik, Alexander
    The aim of this workshop was to bring together researchers in the theory of projective homogeneous varieties with researchers working on cohomology theories of algebraic varieties, so that the latter can learn about the needs in an area of successful applications of these abstract theories and the former can see the latest tools.
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    Mini-Workshop: Topological Complexity and Related Topics
    (Zürich : EMS Publ. House, 2016) Lupton, Gregory; Vandembroucq, Lucile
    Topological complexity is a numerical homotopy invariant of topological spaces, of Lusternik-Schnirelmann type, introduced by Farber and motivated by the motion planning problem from topological robotics. This mini-workshop assembled researchers interested in calculating the topological complexity and its many variants, with the aim of providing a snapshot of the current state of knowledge, and shaping directions of future research.
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    Analytic Number Theory
    (Zürich : EMS Publ. House, 2016) Montgomery, Hugh L.; Vaughan, Robert C.; Wooley, Trevor D.
    Analytic number theory has flourished over the past few years, and this workshop brought together world leaders and young talent to discuss developments in various branches of the subject