• 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 ...
    • 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 ...