• Classification of Higher Dimension Algebraic Varieties 

      [OWS-41] Hacon, Christopher D.; Kovács, Sándor (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 

      [OWS-40] Baum, Helga; Juhl, Andreas (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. Well-known examples of ...
    • Discrete Differential Geometry 

      [OWS-38] Bobenko, Alexander I.; Schröder, Peter; Sullivan, John M.; Ziegler, Günter M. (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 ...
    • Dispersive Equations and Nonlinear Waves 

      [OWS-45] Koch, Herbert; Tataru, Daniel; Vişan, Monica (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 ...
    • Hemodynamical Flows : Modeling, Analysis and Simulation 

      [OWS-37] Galdi, Giovanni P.; Robertson, Anne M.; Rannacher, Rolf; Turek, Stefan (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 ...
    • Interfaces: Modeling, Analysis, Numerics 

      [OWS-51] Bänsch, Eberhard; Deckelnick, Klaus; Garcke, Harald; Pozzi, Paola (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 ...
    • K-Theory for Group C*-Algebras and Semigroup C*-Algebras 

      [OWS-47] Cuntz, Joachim; Echterhoff, Siegfried; Li, Xin; Yu, Guoliang (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 ...
    • Lectures on Algebraic Statistics 

      [OWS-39] Drton, Mathias; Sturmfels, Bernd; Sullivant, Seth (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? ...
    • Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions 

      [OWS-48] Kaltenbacher, Barbara; Kukavica, Igor; Lasiecka, Irena; Triggiani, Roberto; Tuffaha, Amjad; Webster, Justin T. (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/flow-structure interactions. The first ...
    • The mathematics of the Bose gas and its condensation 

      [OWS-34] Lieb, Elliott H.; Solovej, Jan Philip; Seiringer, Robert; Yngvason, Jakob (Birkhäuser Basel, 2005)
      This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only ...
    • Metric Algebraic Geometry 

      Breiding, Paul; Kohn, Kathlén; Sturmfels, Bernd (Birkhäuser Cham, 2024-02-27)
      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 ...
    • Moduli Spaces of Riemannian Metrics 

      [OWS-46] Tuschmann, Wilderich; Wraith, David J. (Birkhäuser Basel, 2015)
      This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature ...
    • New Techniques in Resolution of Singularities 

      [OWS-50] Abramovich, Dan; Frühbis-Krüger, Anne; Temkin, Michael; Włodarczyk, Jarosław (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 ...
    • The Novikov conjecture : geometry and algebra 

      [OWS-33] Kreck, Matthias; Lück, Wolfgang (Birkhäuser Basel, 2005)
    • Photonic Crystals: Mathematical Analysis and Numerical Approximation 

      [OWS-42] Dörfler, Willy; Lechleiter, Armin; Plum, Michael; Schneider, Guido; Wieners, Christian (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 ...
    • Positional Games 

      [OWS-44] Hefetz, Dan; Krivelevich, Michael; Stojaković, Miloš; Szabó, Tibor (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 

      [OWS-43] Benson, David J.; Iyengar, Srikanth B.; Krause, Henning (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 ...
    • Topological and Bivariant K-theory 

      [OWS-36] Cuntz, Joachim; Meyer, Ralf; Rosenberg, Jonathan M. (Birkhäuser Basel, 2007)
      Topological K-theory 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 

      [OWS-35] Itenberg, Ilia; Mikhalkin, Grigory; Shustin, Eugenii (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 ...
    • Tropical and Logarithmic Methods in Enumerative Geometry 

      [OWS-52] Cavalieri, Renzo; Markwig, Hannah; Dhruv, Ranganathan (Birkhäuser (Springer Nature Switzerland), 2023)
      This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021. Logarithmic Gromov-Witten theory lies at the heart of modern approaches to mirror symmetry, but also opens up a number of new directions ...