Oberwolfach Seminars
Oberwolfach Seminars
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Metric Algebraic Geometry
(Birkhäuser Cham, 20240227)Metric algebraic geometry combines concepts from algebraic geometry and differential geometry. Building on classical foundations, it offers practical tools for the 21st century. Many applied problems center around metric ... 
Interfaces: Modeling, Analysis, Numerics
[OWS51] (Birkhäuser (Springer Nature Switzerland), 2023)These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour ... 
Tropical and Logarithmic Methods in Enumerative Geometry
[OWS52] (Birkhäuser (Springer Nature Switzerland), 2023)This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021. Logarithmic GromovWitten theory lies at the heart of modern approaches to mirror symmetry, but also opens up a number of new directions ... 
New Techniques in Resolution of Singularities
[OWS50] (Birkhäuser (Springer Nature Switzerland), 2023)Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resolution of families and semistable reduction, infused the subject with logarithmic geometry and algebraic ... 
Wave Phenomena
[OWS49] (Birkhäuser (Springer Nature Switzerland), 2023)This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach. The research on wavetype problems is a fascinating and emerging field in mathematical ... 
Mathematical Theory of Evolutionary FluidFlow Structure Interactions
[OWS48] (Birkhäuser (SpringerNature), 2018)This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flowstructure interactions. The first ... 
KTheory for Group C*Algebras and Semigroup C*Algebras
[OWS47] (Birkhäuser Basel, 2017)This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to ... 
Moduli Spaces of Riemannian Metrics
[OWS46] (Birkhäuser Basel, 2015)This book studies certain spaces of Riemannian metrics on both compact and noncompact manifolds. These spaces are defined by various signbased curvature conditions, with special attention paid to positive scalar curvature ... 
Dispersive Equations and Nonlinear Waves
[OWS45] (Birkhäuser Basel, 2014)The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized ... 
Positional Games
[OWS44] (Birkhäuser Basel, 2014)This text is based on a lecture course given by the authors in the framework of Oberwolfach Seminars at the Mathematisches Forschungsinstitut Oberwolfach in May, 2013. It is intended to serve as a thorough introduction to ... 
Representations of Finite Groups: Local Cohomology and Support
[OWS43] (Birkhäuser Basel, 2012)The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. The proof draws on ideas ... 
Photonic Crystals: Mathematical Analysis and Numerical Approximation
[OWS42] (Birkhäuser Basel, 2011)This volume collects a series of lectures which provide an introduction to the mathematical background needed for the modeling and simulation of light, in particular in periodic media, and for its applications in optical ... 
Classification of Higher Dimension Algebraic Varieties
[OWS41] (Birkhäuser Basel, 2010)This book focuses on recent advances in the classification of complex projective varieties. It is divided into two parts. The first part gives a detailed account of recent results in the minimal model program. In particular, ... 
Conformal Differential Geometry
[OWS40] (Birkhäuser Basel, 2010)Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.) are of central significance in differential geometry and physics. Wellknown examples of ... 
Lectures on Algebraic Statistics
[OWS39] (Birkhäuser Basel, 2009)How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? ... 
Discrete Differential Geometry
[OWS38] (Birkhäuser Basel, 2008)Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential ... 
Hemodynamical Flows : Modeling, Analysis and Simulation
[OWS37] (Birkhäuser Basel, 2008)This volume consists of six contributions concerning mathematical tools and analysis for the blood flow in arteries and veins. … book will be handy for those who are interested in the description of the flows of fluids ... 
Topological and Bivariant Ktheory
[OWS36] (Birkhäuser Basel, 2007)Topological Ktheory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish ... 
Tropical Algebraic Geometry
[OWS35] (Birkhäuser Basel, 2007)Tropical geometry is algebraic geometry over the semifield of tropical numbers, i.e., the real numbers and negative infinity enhanced with the (max,+)arithmetics. Geometrically, tropical varieties are much simpler than ... 
The mathematics of the Bose gas and its condensation
[OWS34] (Birkhäuser Basel, 2005)This book contains a unique survey of the mathematically rigorous results about the quantummechanical manybody problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only ...