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- ItemMini-Workshop: Positivity in Higher-dimensional Geometry: Higher-codimensional Cycles and Newton-Okounkov Bodies(Zürich : EMS Publ. House, 2017) Küronya, Alex; Lehmann, BrianThere are several flavors of positivity in Algebraic Geometry. They range from conditions that determine vanishing of cohomology, to intersection theoretic properties, and to convex geometry. They offer excellent invariants that have been shown to govern the classification and the parameterization programs in Algebraic Geometry, and are finer than the classical topological ones. This mini-workshop aims to facilitate research collaboration in the area, strengthening the relationship between various positivity notions, beyond the now classical case of divisors/line bundles.
- ItemComplex Algebraic Geometry(Zürich : 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, Kähler manifolds theory, Holomorphic dynamics, Quantum cohomology.
- ItemKomplexe Analysis(Zürich : EMS Publ. House, 2004) Hulek, Klaus; Peternell, Thomas[no abstract available]
- ItemArbeitsgemeinschaft: Minimal Surfaces(Zürich : EMS Publ. House, 2009) Weber, MatthiasThe theory of Minimal Surfaces has developed rapidly in the past 10 years. There are many factors that have contributed to this development: Sophisticated construction methods [14,29,31] have been developed and have supplied us with a wealth of examples which have provided intuition and spawned conjectures. Deep curvature estimates by Colding and Minicozzi [3] give control on the local and global behavior of minimal surfaces in an unprecedented way. Much progress has been made in classifying minimal surfaces of finite topology or low genus in ℝ3 or in other flat 3-manifolds. For instance, all properly embedded minimal surfaces of genus 0 in ℝ3, even those with an infinite number of ends, are now known [21, 23, 25]. There are still numerous difficult but easy to state open conjectures, like the genus-g helicoid conjecture: There exists a unique complete embedded minimal surface with one end and genus g for each g ∈ N, or the related Hoffman–Meeks conjecture: A finite topology surface with genus g and n ≥ 2 ends embeds minimally in ℝ3 with a complete metric if and only if n ≤ g + 2. Sophisticated tools from 3-manifold theory have been applied and generalized to understand the geometric and topological properties of properly embedded minimal surfaces in ℝ3. Minimal surfaces have had important applications in topology and play a prominent role in the larger context of geometric analysis.
- ItemTopologie(Zürich : EMS Publ. House, 2006) Lück, Wolfgang; Oliver, BobThe participants in this conference covered all areas of algebraic and geometric topology. The talks covered a wide range of recent developments, such as the Farrell-Jones conjecture, knot theory, geometric group theory, and stable and unstable homotopy theory.
- ItemAlgebraic Geometry: Birational Classification, Derived Categories, and Moduli Spaces(Zürich : EMS Publ. House, 2017) Huybrechts, Daniel; Siebert, Bernd; Xu, ChenyangThe 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.
- ItemMATRIX-MFO Tandem Workshop/Small Collaboration: Rough Wave Equations (hybrid meeting)(Zürich : EMS Publ. House, 2021) Guo, Zihua; Hassell, Andrew; Portal, Pierre; Po Lam Yung, CanberraThe consideration of wave propagation in inhomogeneous media or the modelling of nonlinear waves often requires the study of wave equations with low regularity data and/or coefficients. Several Australian-European collaborations have recently led to deeper analytical understanding of rough wave equations. This tandem workshop provided a platform for such collaborations and brought together early career researchers and leading experts in harmonic analysis, microlocal analysis and spectral theory. The workshop focused on collaboration and technical knowledge exchange on topics such as local smoothing, spectral multipliers, restriction estimates, Hardy spaces for Fourier integral operators, and nonlinear partial differential equations.
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- ItemLocally Symmetric Spaces(Oberwolfach-Walke : Mathematisches Forschungsinstitut Oberwolfach, 2003) Speh, Birgit[no abstract available]
- ItemDiscrete Geometry(Zürich : EMS Publ. House, 2008) Matousek, Jiri; Welzl, Emo[no abstract available]