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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, ... 
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
[SNAP2014003EN] (Mathematisches Forschungsinstitut Oberwolfach, 2014)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 and polymath who lived and ... 
There is a unique real tight contact 3ball
[OWP201001] (Mathematisches Forschungsinstitut Oberwolfach, 2010)We prove that there is a unique real tight contact structure on the 3ball with convex boundary up to isotopy through real tight contact structures. We also give a partial classification of the real tight solid tori with ... 
Tilting on noncommutative rational projective curves
[OWP200914] (Mathematisches Forschungsinstitut Oberwolfach, 20090308)In this article we introduce a new class of noncommutative projective curves and show that in certain cases the derived category of coherent sheaves on them has a tilting complex. In particular, we prove that the right ... 
Time and band limiting for matrix valued functions, an example
[OWP201508] (Mathematisches Forschungsinstitut Oberwolfach, 20150729)The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the ... 
Time Discretization Schemes for Hyperbolic Systems on Networks by εExpansion
[OWP201903] (Mathematisches Forschungsinstitut Oberwolfach, 20190212)We consider partial differential equations on networks with a small parameter $\epsilon$, which are hyperbolic for $\epsilon>0$ and parabolic for $\epsilon=0$. With a combination of an $\epsilon$expansion and RungeKutta ... 
Topics in control theory
(Birkhäuser Basel, 1993)One of the key concerns in modern control theory is the design of steering strategies. The implementation of such strategies is done by a regulator. Presented here is a selfcontained introduction to the mathematical ... 
Topics in the geometry of projective space : recent work of F. L. Zak
(Birkhäuser Basel, 1984)The main topics discussed at the D. M. V. Seminar were the connectedness theorems of Fulton and Hansen, linear normality and subvarieties of small codimension in projective spaces. They are closely related; thus the ... 
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 ... 
Topological Complexity, Robotics and Social Choice
[SNAP2018005EN] (Mathematisches Forschungsinstitut Oberwolfach, 20180810)Topological complexity is a number that measures how hard it is to plan motions (for robots, say) in terms of a particular space associated to the kind of motion to be planned. This is a burgeoning subject within the ... 
Topological recursion
[SNAP2018002EN] (Mathematisches Forschungsinstitut Oberwolfach, 20180305)In this snapshot we present the concept of topological recursion – a new, surprisingly powerful formalism at the border of mathematics and physics, which has been actively developed within the last decade. After introducing ... 
Torsionfree Covers of Solvable Minimax Groups
[OWP201515] (Mathematisches Forschungsinstitut Oberwolfach, 20151118)We prove that every finitely generated solvable minimax group can be realized as a quotient of a torsionfree solvable minimax group. This result has an application to the investigation of random walks on finitely generated ... 
Totally Acyclic Complexes
[OWP201614] (Mathematisches Forschungsinstitut Oberwolfach, 20160817)We prove first (Proposition 3) that, over any ring $R$, an acyclic complex of projective modules is totally acyclic if and only if the cycles of every acyclic complex of Gorenstein projective modules are Gorenstein projective. ... 
Towards a Mathematical Theory of Turbulence in Fluids
[SNAP2016015EN] (Mathematisches Forschungsinstitut Oberwolfach, 2016)Fluid mechanics is the theory of how liquids and gases move around. For the most part, the basic physics are well understood and the mathematical models look relatively simple. Despite this, fluids display a dazzling mystery ... 
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 ... 
Tropical geometry
[SNAP2018007EN] (Mathematisches Forschungsinstitut Oberwolfach, 20180719)What kind of strange spaces hide behind the enigmatic name of tropical geometry? In the tropics, just as in other geometries, one of the simplest objects is a line. Therefore, we begin our exploration by considering tropical ... 
The Tutte Polynomial of Ideal Arrangements
[OWP201828] (Mathematisches Forschungsinstitut Oberwolfach, 20181221)The Tutte polynomial is originally a bivariate polynomial enumerating the colorings of a graph and of its dual graph. But it reveals more of the internal structure of the graph like its number of forests, of spanning ... 
Unconditional Convergence of Spectral Decompositions of 1D Dirac Operators with Regular Boundary Conditions
[OWP201021] (Mathematisches Forschungsinstitut Oberwolfach, 20100319)