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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. ... 
Touching the transcendentals: tractional motion from the bir th of calculus to future perspectives
[SNAP2019013EN] (Mathematisches Forschungsinstitut Oberwolfach, 20191121)When the rigorous foundation of calculus was developed, it marked an epochal change in the approach of mathematicians to geometry. Tools from geometry had been one of the foundations of mathematics until the 17th century ... 
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 ... 
0710a  Transport in MultiDimensional Random Schrödinger Operators
[OWR200712] (2007)  (04 Mar  10 Mar 2007)Random Schrödinger operators are a topic of common interest in 
0843b  Trends and Developments in Complex Dynamics
[OWR200848] (2008)  (19 Oct  25 Oct 2008) 
1105  Trends in Mathematical Imaging and Surface Processing
[OWR20117] (2011)  (30 Jan  05 Feb 2011)Motivated both by industrial applications and the challenge of new problems, one observes an increasing interest in the field of image and surface processing over the last years. It has become clear that even though the ... 
0704  Trends in Mathematical Imaging and Surface Processing
[OWR20073] (2007)  (21 Jan  27 Jan 2007)Motivated both by industrial applications and the challenge of new problems, one observes an increasing interest in the field of image and surface processing over the last years. It has become clear that even though the ... 
1218  Triangulations
[OWR201224] (2012)  (29 Apr  05 May 2012)The earliest work in topology was often based on explicit combinatorial models – usually triangulations – for the spaces being studied. Although algebraic methods in topology gradually replaced combinatorial ones in the ... 
Trivial Source Character Tables of SL2(q)
[OWP202202] (Mathematisches Forschungsinstitut Oberwolfach, 20220128)We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL(2,q) over a large enough field of positive characteristic $\ell$ via ... 
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 and Logarithmic Methods in Enumerative Geometry
[OWS52] (Birkhäuser (Springer Nature Switzerland), 2023)This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021. Logarithmic GromovWitten theory lies at the heart of modern approaches to mirror symmetry, but also opens up a number of new directions ... 
1518  Tropical Aspects in Geometry, Topology and Physics
[OWR201523] (2015)  (26 Apr  02 May 2015)The workshop Tropical Aspects in Geometry, Topology and Physics was devoted to a wide discussion and exchange of ideas between the leading experts representing various points of view on the subject. The development of ... 
0750  Tropical Geometry
[OWR200757] (2007)  (09 Dec  15 Dec 2007)Tropical Geometry is a new and rapidly developing discipline that touches upon many branches of modern mathematics. It is characterized by the transition of algebrogeometric objects to piecewiselinear ones, thereby ... 
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 ... 
1918  Tropical Geometry: new directions
[OWR201921] (2019)  (28 Apr  04 May 2019)The workshop "Tropical Geometry: New Directions" was devoted to a wide discussion and exchange of ideas between the leading experts representing various points of view on the subject, notably, to new phenomena that have ... 
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 ... 
0125b  Two Hundred Years of Number Theory after CarlFriedrich Gauß's Disquisitiones Arithmeticae
[TB200126] (2001)  (17 Jun  23 Jun 2001) 
Ultrafilter methods in combinatorics
[SNAP2021006EN] (Mathematisches Forschungsinstitut Oberwolfach, 20210625)Given a set X, ultrafilters determine which subsets of X should be considered as large. We illustrate the use of ultrafilter methods in combinatorics by discussing two cornerstone results in Ramsey theory, namely ... 
1911  Uncertainty Quantification
[OWR201912] (2019)  (10 Mar  16 Mar 2019)Uncertainty quantification (UQ) is concerned with including and characterising uncertainties in mathematical models. Major steps comprise proper description of system uncertainties, analysis and efficient quantification ... 
Unconditional Convergence of Spectral Decompositions of 1D Dirac Operators with Regular Boundary Conditions
[OWP201021] (Mathematisches Forschungsinstitut Oberwolfach, 20100319)