• 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, ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • Wave Phenomena 

      [OWS-49] Dörfler, Willy; Hochbruck, Marlis; Köhler, Jonas; Rieder, Andreas; Schnaubelt, Roland; Wieners, Christian (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 wave-type problems is a fascinating and emerging field in mathematical ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...