• 1516b - Copulae: On the Crossroads of Mathematics and Economics 

      [OWR-2015-20] (2015) - (12 Apr - 18 Apr 2015)
      The central focus of the workshop was on copula theory as well as applications to multivariate stochastic modelling. The programme was intrinsically interdisciplinary and represented areas with much recent progress. The ...
    • 1143a - Correlations and Interactions for Random Quantum Systems 

      [OWR-2011-50] (2011) - (23 Oct - 29 Oct 2011)
      Random quantum systems cover a broad range of mathematical models from random Schrödinger operators to random matrices and quantum spin models with random parameters. Their understanding requires techniques which combine ...
    • Counting Curves on Toric Surfaces Tropical Geometry & the Fock Space 

      [OWP-2017-18] Cavalieri, Renzo; Johnson, Paul; Markwig, Hannah; Ranganathan, Dhruv (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-17)
      We study the stationary descendant Gromov–Witten theory of toric surfaces by combining and extending a range of techniques – tropical curves, floor diagrams, and Fock spaces. A correspondence theorem is established between ...
    • Counting self-avoiding walks on the hexagonal lattice 

      [SNAP-2019-006-EN] Duminil-Copin, Hugo (Mathematisches Forschungsinstitut Oberwolfach, 2019-06-04)
      In how many ways can you go for a walk along a lattice grid in such a way that you never meet your own trail? In this snapshot, we describe some combinatorial and statistical aspects of these so-called self-avoiding ...
    • Coxeter Arrangements and Solomon's Descent Algebra 

      [OWP-2011-03] Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-6)
    • Criteria for Algebraicity of Analytic Functions 

      [OWP-2018-25] Bochnak, Jacek; Gwoździewicz, Janusz; Kucharz, Wojciech (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-12)
      We consider functions defined on an open subset of a nonsingular, either real or complex, algebraic set. We give criteria for an analytic function to be a Nash (resp. regular, resp. polynomial) function. Our criteria depend ...
    • Cryptanalysis of Public-key Cryptosystems Based on Algebraic Geometry Codes 

      [OWP-2012-01] Márquez-Corbella, Irene; Martínez-Moro, Edgar; Pellikaan, Ruud (Mathematisches Forschungsinstitut Oberwolfach, 2012-03-20)
      This paper addresses the question of retrieving the triple $(\mathcal{X},\mathcal{P},\mathcal{E})$ from the algebraic geometry code $\mathcal{C}_L(\mathcal{X},\mathcal{P},\mathcal{E})$, where $\mathcal{X}$ is an algebraic ...
    • 1431 - Cryptography 

      [OWR-2014-35] (2014) - (27 Jul - 02 Aug 2014)
      The Oberwolfach workshop Cryptography brought together scientists from cryptography with mathematicians specializing in the algorithmic problems underlying cryptographic security. The goal of the workshop was to stimulate ...
    • 1703 - Cryptography 

      [OWR-2017-5] (2017) - (15 Jan - 21 Jan 2017)
      The Oberwolfach workshop Cryptography brought together scientists from cryptography with mathematicians specializing in the algorithmic problems underlying cryptographic security. The goal of the workshop was to stimulate ...
    • Crystal energy functions via the charge in types A and C 

      [OWP-2011-25] Lenart, Cristian; Schilling, Anne (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-23)
      The Ram-Yip formula for Macdonald polynomials (at $t=0$) provides a statistic which we call charge. In types $A$ and $C$ it can be defined on tensor products of Kashiwara-Nakashima single column crystals. In this ...
    • Curriculum development in university mathematics: where mathematicians and education collide 

      [SNAP-2015-011-EN] Sangwin, Christopher J. (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      This snapshot looks at educational aspects of the design of curricula in mathematics. In particular, we examine choices textbook authors have made when introducing the concept of the completness of the real numbers. Can ...
    • Curvatura escalar positiva y aplicaciones 

      [SNAP-2019-004-ES] Rosenberg, Jonathan; Wraith, David (Mathematisches Forschungsinstitut Oberwolfach, 2021)
      Introducimos la idea de curvatura, incluyendo su desarrollo histórico, y nos enfocamos en la curvatura escalar de una variedad. Uno de los temas principales de investigación actual es entender la curvatura escalar positiva. ...
    • Cutoff Phenomenon: Surprising Behaviour in Card Shuffling and other Markov Chains 

      [SNAP-2023-005-EN] Baraquin, Isabelle; Lafrenière, Nadia; Schuh, Katharina (Mathematisches Forschungsinstitut Oberwolfach, 2023-12-21)
      This snapshot compares two techniques of shuffling a deck of cards, asking how long it will take to shuffle the cards until a “well-mixed deck” is obtained. Surprisingly, the number of shuffles can be very different for ...
    • Darcy's law and groundwater flow modelling 

      [SNAP-2015-007-EN] Schweizer, Ben (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      Formulations of natural phenomena are derived, sometimes, from experimentation and observation. Mathematical methods can be applied to expand on these formulations, and develop them into better models. In the year 1856, ...
    • 0313 - Darstellungen endlicher Gruppen 

      [TB-2003-14] (2003) - (23 Mar - 29 Mar 2003)
    • 0008 - Darstellungstheorie endlich-dimensionaler Algebren 

      [TB-2000-8] (2000) - (20 Feb - 26 Feb 2000)
    • 9925 - Darstellungstheorie endlicher Gruppen 

      [TB-1999-25] (1999) - (20 Jun - 26 Jun 1999)
    • 2208 - Data Assimilation - Mathematical Foundation and Applications 

      [OWR-2022-10] (2022) - (20 Feb - 26 Feb 2022)
      The field of "Data Assimilation'' has been driven by applications from the geosciences where complex mathematical models are interfaced with observational data in order to improve model forecasts. Mathematically, data ...
    • Data assimilation: mathematics for merging models and data 

      [SNAP-2018-011-EN] Morzfeld, Matthias; Reich, Sebastian (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-10)
      When you describe a physical process, for example, the weather on Earth, or an engineered system, such as a self-driving car, you typically have two sources of information. The first is a mathematical model, and the ...