https://www.imaginary.org/snapshots Home IMAGINARY open mathematics Languages * English * Francais * Deutsch * hangugeo * Espanol * Turkce main menu 2 * Events * Programs * Galleries * Hands-On * Films * Texts * Exhibitions meta-menu * About * Projects * Participate * Contact Your Account E-mail or username * [ ] Password * [ ] * Create new account * Request new password [Log in] Search form Search [ ] [Search] Snapshots of modern mathematics from Oberwolfach Snapshots of modern mathematics from Oberwolfach Mathematisches Forschungsinstitut Oberwolfach Schwarzwaldstrasse 9--11 77709 Oberwolfach, Germany www. mfo.de Here you can find the "snapshots of modern mathematics from Oberwolfach". Snapshots are short texts on aspects of modern mathematics written by researchers visiting the Mathematisches Forschungsinstitut Oberwolfach. They are edited for accessibility and understandability by a team of editors. We recommend advanced High School mathematics as prerequisite for reading a snapshot. The snapshot project is designed to promote the understanding and appreciation of modern mathematics and mathematical research in the general public world-wide. As part of the project "Oberwolfach meets IMAGINARY" (2013-2016), it was funded by the Klaus Tschira Foundation and the Oberwolfach Foundation. Subscribe to the RSS feed and stay up-to-date on the latest snapshots. snapshots: overview Mathematical subjects [ ]Algebra and Number Theory [ ]Analysis [ ]Didactics and Education [ ]Discrete Mathematics and Foundations [ ]Geometry and Topology [ ]Numerics and Scientific Computing [ ]Probability Theory and Statistics Connections to other fields [ ]Chemistry and Earth Science [ ]Computer Science [ ]Engineering and Technology [ ]Finance [ ]Humanities and Social Sciences [ ]Life Science [ ]Physics [ ]Reflections on Mathematics Author [ ] [Apply] Thorsten Heidersdorf Truncated fusion rules for supergroups [algebra-12] Ralf Korn Uncertainty as an ingredient in financial modeling [probability-03] Sarah Hess, Angelica Torres, Mirte van der Eyden Voronoi Cells: Or How to Find the Nearest Bakery [algebra-12] [geometry-11] Ana Djurdjevac, Henri Elad Altman, Tommaso Rosati Randomness is natural - an introduction to regularisation by noise [probability-03] Po-Lam Yung Waves and incidences [analysis-06] [geometry-11] Luca Chiantini, Brian Harbourne Geproci sets: a new perspective in algebraic geometry [algebra-12] [discrete-mathematics-15] Florian Frick The geometry of fair division [discrete-mathematics-15] [geometry-11] Giuseppe Negro, Diogo Oliveira e Silva 4 = 2 x 2, or the power of even integers in Fourier analysis [analysis-06] Isabelle Baraquin, Nadia Lafreniere, Katharina Schuh Cutoff phenomenon: Surprising behaviour in card shuffling and other Markov chains [probability-03] Vern I. Paulsen Algebras and quantum games [analysis-06] Ingmar Saberi Felder und Raume: Symmetrie und Lokalitat in Mathematik und theoretischen Wissenschaften [geometry-11] Pieter Belmans The periodic tables of algebraic geometry [algebra-12] [geometry-11] Jason J. Bramburger Patterns and waves in theory, experiment, and application [analysis-06] [scientific-computing-13] Benjamin Dozier Closed geodesics on surfaces [geometry-11] Kathrin Hellmuth, Christian Klingenberg Route planning for bacteria [analysis-06] Fabian Mussnig Characterizations of intrinsic volumes on convex bodies and convex functions [analysis-06] [geometry-11] Jennifer S. Balakrishnan A tale of three curves [algebra-12] Michael Baake, Uwe Grimm, Robert V. Moody What is Pattern? [discrete-mathematics-15] [geometry-11] [probability-03] Saiteja Utpala, Nina Miolane Biological Shape Analysis with Geometric Statistics and Learning [geometry-11] [probability-03] Ilya Dumanski, Valentina Kiritchenko Representations and degenerations [algebra-12] Jonas Latz, Bjorn Sprungk Solving inverse problems with Bayes' theorem [scientific-computing-13] [probability-03] Herbert Gangl Jewellery from tessellations of hyperbolic space [algebra-12] [geometry-11] Chr istina Frederick, Yunan Yang Seeing through rock with help from optimal transport [scientific-computing-13] David A. Craven Searching for the Monster in the Trees [algebra-12] Hugh Thomas The Robinson-Schensted algorithm [algebra-12] [discrete-mathematics-15] Franca Hoffmann, Sara Merino-Aceituno Emergence in biology and social sciences [analysis-06] Jason D. Lotay Lagrangian mean curvature flow [geometry-11] Leo Storme Finite geometries: pure mathematics close to applications [algebra-12] [discrete-mathematics-15] [geometry-11] Francesca Arici, Bram Mesland Describing distance: from the plane to spectral triples [geometry-11] Martijn Caspers Quantum symmetry [analysis-06] Fadoua Balabdaoui, Yulia Kulagina The Enigma behind the Good-Turing formula [probability-03] Anna Haensch Reflections on hyperbolic space [algebra-12] [geometry-11] Isaac Goldbring Ultrafilter methods in combinatorics [algebra-12] [discrete-mathematics-15] Gandalf Lechner Zopfgruppen, die Yang-Baxter-Gleichung und Unterfaktoren [algebra-12] [analysis-06] [geometry-11] Baptiste Rognerud Invitation to quiver representation and Catalan combinatorics [algebra-12] [discrete-mathematics-15] Po-Ling Loh Searching for structure in complex data: A modern statistical quest [probability-03] David Kerr C*-algebras: structure and classification [analysis-06] Sara Lamboglia, Martin Ulirsch From the dollar game to the Riemann-Roch Theorem [algebra-12] [discrete-mathematics-15] [geometry-11] Steven Rayan, Laura P. Schaposnik Higgs bundles without geometry [geometry-11] Behrend Heeren, Martin Rumpf Shape space - a paradigm for character animation in computer graphics [scientific-computing-13] Joshua Zahl Rotating needles, vibrating strings, and Fourier summation [analysis-06] Moritz Weber Quantum symmetry [algebra-12] [analysis-06] Christian Berg Determinacy versus indeterminacy [analysis-06] [probability-03] Jayadev S. Athreya, David Aulicino Vertex-to-Self Trajectories on the Platonic Solids [geometry-11] Gianluca Finocchio Random matrix theory: Dyson Brownian motion [algebra-12] [probability-03] Holger Kammeyer, Roman Sauer From Betti numbers to l2-Betti numbers [geometry-11] Martin J. Gander Is it possible to predict the far future before the near future is known accurately? [scientific-computing-13] Jan-Bernhard Kordass The Interaction of Curvature and Topology [geometry-11] barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggianti, Amjad Fuffaha, Justin Weber The Mathematics of Fluids and Solids [analysis-06] Jake Fillman, Tom van den Boom A surprising connection between quantum mechanics and shallow water waves [analysis-06] Daniel Zelazo, Shiyu Zhao Formation Control and Rigidity Theory [discrete-mathematics-15] Ana Khukhro Expander graphs and where to find them [algebra-12] [analysis-06] [geometry-11] Simon Arridge, Maarten de Hoop, Peter Maass, Ozan Oktem, Carola Schonlie, Michael Unser Deep Learning and Inverse Problems [analysis-06] [scientific-computing-13] Jan Martin Nordbotten Mixed-dimensional models for real-world applications [scientific-computing-13] Pietro Milici Touching the transcendentals: tractional motion from the birth of calculus to future perspectives [algebra-12] [analysis-06] [geometry-11] Loic Petitgirard Analogue mathematical instruments: Examples from the "theoretical dynamics" group (France, 1948-1964) [analysis-06] [scientific-computing-13] Rita Jimenez Rolland, Miguel A. Xicotencatl Configuration spaces and braid groups [geometry-11] Tereza Klimosova Limits of graph sequences [analysis-06] [discrete-mathematics-15] [probability-03] Paulo Oliva On Logic, Choices and Games [algebra-12] [analysis-06] [discrete-mathematics-15] Barbara Kaltenbacher, Rainer Brunnhuber Nonlinear Acoustics [analysis-06] Volker Betz Random permutations [geometry-11] [probability-03] Hugo Duminil-Copin Counting self-avoiding walks on the hexagonal lattice [probability-03] A. S. Detinko, D. L. Flannery, A. Hulpke Algebra, matrices, and computers [algebra-12] Jonathan Rosenberg, David Wraith Positive Scalar Curvature and Applications [geometry-11] Hector Pasten Diophantine equations and why they are hard [algebra-12] Martin Buhmann, Janin Jager On radial basis functions [scientific-computing-13] Ralf Schiffler Snake graphs, perfect matchings and continued fractions [algebra-12] [discrete-mathematics-15] Nicolai Baldin Estimating the volume of a convex body [geometry-11] [probability-03] Liran Rotem Mixed volumes and mixed integrals [analysis-06] [geometry-11] Filippo Santambrogio A short story on optimal transport and its many applications [analysis-06] [scientific-computing-13] Sebastian Schonnenbeck Number theory in quantum computing [algebra-12] Matthias Morzfeld, Sebastian Reich Data assimilation: mathematics for merging models and data [scientific-computing-13] Claus Hertling Geometry behind one of the Painleve III differential equations [analysis-06] [geometry-11] Antonio Lerario The codimension [geometry-11] Marius Tucsnak The mathematics of aquatic locomotion [analysis-06] Erwan Brugalle, Ilia Itenberg, Kristin Shaw, Oleg Viro Tropical geometry [discrete-mathematics-15] [geometry-11] Alex Barnett Fast Solvers for Highly Oscillatory Problems [scientific-computing-13] Greg Lupton, John Oprea, Jose Gabriel Carrasquel Vera Topological Complexity, Robotics and Social Choice [geometry-11] Thomas Sauer Prony's method: an old trick for new problems [algebra-12] [scientific-computing-13] Colva M. Roney-Dougal Computing with symmetries [algebra-12] [discrete-mathematics-15] Piotr Sulkowski Topological recursion [geometry-11] [probability-03] Anna Seigal The Algebraic Statistics of an Oberwolfach Workshop [algebra-12] [probability-03] Jean-Pierre Tignol Solving quadratic equations in many variables [algebra-12] Chi-Wang Shu Mathematics plays a key role in scientific computing [scientific-computing-13] Mauricio Bustamante, Jan-Bernhard Kordass Spaces of Riemannian metrics [geometry-11] Shaula Fiorelli Vilmart, Gilles Vilmart Computing the long term evolution of the solar system with geometric numerical integrators [scientific-computing-13] Justin Solomon Computational Optimal Transport [scientific-computing-13] Justyna Szpond A few shades of interpolation [algebra-12] [geometry-11] George Hagedorn, Caroline Lasser Molecular quantum dynamics [analysis-06] [scientific-computing-13] Marco Radeschi Closed geodesics on surfaces and Riemannian manifolds [geometry-11] Christian Engwer, Markus Knappitsch Mathematische Modellierung von Krebswachstum [analysis-06] [scientific-computing-13] Michael Baake, David Damanik, Uwe Grimm Aperiodic Order and Spectral Properties [algebra-12] [analysis-06] [discrete-mathematics-15] [geometry-11] Lukas Pottmeyer News on quadratic polynomials [algebra-12] [analysis-06] Felix Gunther Winkeltreue zahlt sich aus [analysis-06] [discrete-mathematics-15] [geometry-11] Jacob Bedrossian Towards a Mathematical Theory of Turbulence in Fluids [analysis-06] Laurent Bartholdi Profinite groups [algebra-12] [geometry-11] Dietmar Gallistl The adaptive finite element method [scientific-computing-13] Steven Klee Footballs and donuts in four dimensions [discrete-mathematics-15] [geometry-11] Nikolai Nowaczyk The Willmore Conjecture [geometry-11] Lior Bary-Soroker Prime Tuples in Function Fields [algebra-12] Rafael Guglielmetti, Matthieu Jacquemet Polyhedra and commensurability [algebra-12] [geometry-11] Manfred Deistler, Andreas Graef Fokus-Erkennung bei Epilepsiepatienten mithilfe moderner Verfahren der Zeitreihenanalyse [probability-03] Robert Altmann, Jan Heiland Wie steuert man einen Kran? [scientific-computing-13] Anthony T Patera, Karsten Urban High performance computing on smartphones [scientific-computing-13] Eugenio Giannelli, Jay Taylor Symmetry and characters of finite groups [algebra-12] Maria Dostert, Stefan Krupp, Jan Hendrick Rolfes Das Problem der Kugelpackung [algebra-12] [discrete-mathematics-15] [geometry-11] Tomasz Szemberg On the containment problem [algebra-12] Eric Fusy Random sampling of domino and lozenge tilings [discrete-mathematics-15] Magnus Egerstedt Swarming robots [analysis-06] [scientific-computing-13] Ulrich Krahmer From computer algorithms to quantum field theory: an introduction to operads [algebra-12] [geometry-11] Juanjo Rue Domino tilings of the Aztec Diamond [discrete-mathematics-15] [probability-03] Sebastian Funk The mystery of sleeping sickness - why does it keep waking up? [scientific-computing-13] Antti Knowles Quantum diffusion [analysis-06] [probability-03] Amanda Swan, Albert Murtha Modelling the spread of brain tumours [scientific-computing-13] J. Marron Visual Analysis of Spanish Male Mortality [scientific-computing-13] Christopher Sangwin Curriculum development in university mathematics: where mathematicians and education collide [analysis-06] Jurg Kramer, Anna-Maria Pippich Special values of zeta functions and areas of triangles [algebra-12] Victoria Powers How to choose a winner : the mathematics of social choice [discrete-mathematics-15] Valentina Kiritchenko, Evgeny Smirnov, Vladlen Timorin Ideas of Newton-Okounkov bodies [algebra-12] Ben Schweizer Darcy's law and groundwater flow modelling [analysis-06] [scientific-computing-13] Raluca Eftimie Modelling communication and movement: from cells to animals and humans [scientific-computing-13] Tom Solomon Chaos and chaotic fluid mixing [scientific-computing-13] Thorsten Holm Friezes and tilings [algebra-12] [discrete-mathematics-15] George Willis Zero-dimensional symmetry [algebra-12] [geometry-11] Christine Breiner Minimizing energy [analysis-06] [geometry-11] Diana Davis Billiards and flat surfaces [geometry-11] Peter Benner, Hermann Mena, Rene Schneider Drugs, herbicides, and numerical simulation [scientific-computing-13] Gregory Knese Operator theory and the singular value decomposition [analysis-06] Alain Valette The Kadison-Singer problem [analysis-06] [probability-03] Ragnar-Olaf Buchweitz, Eleonore Faber Swallowtail on the shore [algebra-12] [geometry-11] Howell Tong Statistics and dynamical phenomena [probability-03] Brian Harbourne, Thomas Szemberg Arrangements of lines [algebra-12] [geometry-11] Bruce Reznick What does ">" really mean? [algebra-12] Harald Helfgott The ternary Goldbach Problem [algebra-12] Wolfgang Lerche Matrixfaktorisierungen [geometry-11] John E. McCarthy Dirichlet Series [analysis-06] [algebra-12] Algebra and Number Theory [analysis-06] Analysis [didactics-education-15] Didactics and Education [discrete-mathematics-15] Discrete Mathematics and Foundations [geometry-11] Geometry and Topology [scientific-computing-13] Numerics and Scientific Computing [probability-03] Probability Theory and Statistics Connections to other fields [earth-science-08] Chemistry and Earth Science [computer-science-07] Computer Science [engineering-13] Engineering and Technology [finances-12] Finance [humanities-02] Humanities and Social Sciences [life-sciences-01] Life Science [physics-05] Physics [reflections-05] Reflections on Mathematics These icons are available under the CC BY-SA 4.0 license. Please feel free to use them to classify your own content. The vector icons can be downloaded here. 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