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Supertropical Quadratic Forms I
[OWP201327] (Mathematisches Forschungsinstitut Oberwolfach, 2013)We initiate the theory of a quadratic form q over a semiring $R$. As customary, one can write $q(x+y)=q(x)+q(y)+b(x,y)$, where b is a companion bilinear form. But in contrast to the ringtheoretic case, the companion ... 
Supertropical semirings and supervaluations
[OWP201005] (Mathematisches Forschungsinstitut Oberwolfach, 2010)We interpret a valuation $\upsilon$ on a ring $R$ as a map $\upsilon:R \rightarrow M$ into a so called bipotent semiring $M$ (the usual maxplus setting), and then define a supervaluation $\varphi$ as a suitable map into ... 
Sur le Minimum de la Fonction de Brjuno
[OWP201826] (Mathematisches Forschungsinstitut Oberwolfach, 20181211)The Brjuno function attains a strict global minimum at the golden section. 
1649  Surface Bundles
[OWR201656] (2016)  (04 Dec  10 Dec 2016)This workshop brought together specialists in algebraic topology, low dimensional topology, geometric group theory, algebraic geometry and neighboring fields. It provided a good overview of the current developments, and ... 
1904  Surface, Bulk, and Geometric Partial Differential Equations: Interfacial, stochastic, nonlocal and discrete structures
[OWR20193] (2019)  (20 Jan  26 Jan 2019)Partial differential equations in complex domains with free\linebreak boundaries and interfaces continue to be flourishing research areas at the interfaces between PDE theory, differential geometry, numerical analysis ... 
Surgery theory and geometry of representations
[OWS11] (Birkhäuser Basel, 1988)These notes were prepared for the DMVSeminar held in Dusseldorf, Schloss Mickeln from June 28 to July 5, 1987. They consist of two parts which can be read independently. The reader is presumed to have a basic education ... 
A surprising connection between quantum mechanics and shallow water waves
[SNAP2019018EN] (Mathematisches Forschungsinstitut Oberwolfach, 20191211)We describe a connection between quantum mechanics and nonlinear wave equations and highlight a few problems at the forefront of modern research in the intersection of these areas. 
Swallowtail on the shore
[SNAP2014007EN] (Mathematisches Forschungsinstitut Oberwolfach, 2014)Platonic solids, Felix Klein, H.S.M. Coxeter and a flap of a swallowtail: The five Platonic solids tetrahedron, cube, octahedron, icosahedron and dodecahedron have always attracted much curiosity from mathematicians, not ... 
Swarming robots
[SNAP2016001EN] (Mathematisches Forschungsinstitut Oberwolfach, 2016)When lots of robots come together to form shapes, spread in an area, or move in one direction, their motion has to be planned carefully. We discuss how mathematicians devise strategies to help swarms of robots behave like ... 
The Sylow Structure of Scalar Automorphism Groups
[OWP201805] (Mathematisches Forschungsinstitut Oberwolfach, 20180322)For any locally compact abelian periodic group A its automorphism group contains as a subgroup those automorphisms that leave invariant every closed subgroup of A, to be denoted by SAut(A). This subgroup is again a locally ... 
Symmetry and characters of finite groups
[SNAP2016005EN] (Mathematisches Forschungsinstitut Oberwolfach, 2016)Over the last two centuries mathematicians have developed an elegant abstract framework to study the natural idea of symmetry. The aim of this snapshot is to gently guide the interested reader through these ideas. In ... 
The TGraph of a Multigraded Hilbert Scheme
[OWP201134] (Mathematisches Forschungsinstitut Oberwolfach, 2011)The $T$graph of a multigraded Hilbert scheme records the zero and onedimensional orbits of the $T=(K^*)^n$ action on the Hilbert scheme induced from the $T$action on $\mathbb{A}^n$. It has vertices the $T$fixed points, ... 
0622  Teichmüller Space (Classical and Quantum)
[OWR200626] (2006)  (28 May  03 Jun 2006)This is a short report on the conference “Teichmüller Space (Classical and Quantum) ” held in Oberwolfach from May 28th to June 3rd, 2006. 
1048  Teichmüller Theory
[OWR201053] (2010)  (28 Nov  04 Dec 2010)This is a report on the workshop on Teichmüller theory held in Oberwolfach, from November 28 to December 4, 2010. The workshop brought together people working in various aspects of the field, with a focus on recent ... 
Ten lectures on random media
[OWS32] (Birkhäuser Basel, 2002)The following notes grew out oflectures held during the DMVSeminar on Random Media in November 1999 at the Mathematics Research Institute of Oberwolfach, and in FebruaryMarch 2000 at the Ecole Normale Superieure in Paris. ... 
Tensor Representations of q(∞)
[OWP201609] (Mathematisches Forschungsinstitut Oberwolfach, 20160617)We introduce a symmetric monoidal category of modules over the direct limit queer superalgebra $\mathfrak{q}(\infty)$. The category can be defined in two equivalent ways with the aid of the large annihilator condition. ... 
The ternary Goldbach problem
[SNAP2014003ENSNAP2014003DE] (Mathematisches Forschungsinstitut Oberwolfach, 2014)[also available in German] Leonhard Euler (1707–1783) – one of the greatest mathematicians of the eighteenth century and of all times – often corresponded with a friend of his, Christian Goldbach (1690–1764), an amateur ... 
1135  The Analytic Theory of Automorphic Forms
[OWR201143] (2011)  (28 Aug  03 Sep 2011)The workshop brought together leading experts in the theory of automorphic forms. Recently developed analytic, geometric and ergodic methods have enabled several important results in the theory for $GL(2)$, and also made ... 
0606  The Arithmetic of Fields
[OWR20066] (2006)  (05 Feb  11 Feb 2006)This is the report on the Oberwolfach workshop The Arithmetic of Fields, held in February 2006. Field Arithmetic (MSC 12E30) is a branch of mathematics concerned with studying the inner structure (orderings, valuations, ...