Winkeltreue zahlt sich aus

Schnappschüsse moderner Mathematik aus Oberwolfach

Winkeltreue zahlt sich aus

Nicht nur Seefahrerinnen, auch Computergrafikerinnen und Physikerinnen wissen Winkeltreue zu schätzen. Doch beschränkte Rechenkapazitäten und Vereinfachungen in theoretischen Modellen erfordern es, winkeltreue Abbildungen nur mit einer überschaubaren Datenmenge zu beschreiben. Entsprechende Theorien werden in der diskreten Mathematik untersucht. Im Folgenden lade ich Sie auf eine Reise in die faszinierende Welt der winkeltreuen Abbildungen ein.

Falls Sie diesen Schnappschuss übersetzen möchten, kontaktieren Sie uns bitte über info@imaginary.org

Mathematisches Fachgebiet

Analysis

Diskrete Mathematik und Grundlagen

Geometrie und Topologie

Verbindung zu anderen Gebieten

Informatik

Physik

Autor(en)

Felix Günther

Lizenz

CC BY-NC-SA-4.0

DOI (Digital Object Identifier)

10.14760/SNAP-2017-001-EN

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snapshot-2017-001.pdf

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Characterizations of intrinsic volumes on convex bodies and convex functions

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A tale of three curves

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Representations and degenerations

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Solving inverse problems with Bayes’ theorem

Jewellery from tessellations of hyperbolic space

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Seeing through rock with help from optimal transport

David A. Craven

Searching for the Monster in the Trees

The Robinson–Schensted algorithm

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Emergence in biology and social sciences

Lagrangian mean curvature flow

Finite geometries: pure mathematics close to applications

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Describing distance: from the plane to spectral triples

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Quantum symmetry

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The Enigma behind the Good–Turing formula

Reflections on hyperbolic space

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Ultrafilter methods in combinatorics

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Invitation to quiver representation and Catalan combinatorics

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From the dollar game to the Riemann-Roch Theorem

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Higgs bundles without geometry

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Rotating needles, vibrating strings, and Fourier summation

Quantum symmetry

Determinacy versus indeterminacy

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Vertex-to-Self Trajectories on the Platonic Solids

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Random matrix theory: Dyson Brownian motion

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From Betti numbers to l2-Betti numbers

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The Interaction of Curvature and Topology

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Configuration spaces and braid groups

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Limits of graph sequences

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Random permutations

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Positive Scalar Curvature and Applications

Diophantine equations and why they are hard

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Mixed volumes and mixed integrals

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Number theory in quantum computing

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The codimension

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Tropical geometry

Fast Solvers for Highly Oscillatory Problems

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Topological Complexity, Robotics and Social Choice

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Computing with symmetries

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Topological recursion

The Algebraic Statistics of an Oberwolfach Workshop

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Solving quadratic equations in many variables

Mathematics plays a key role in scientific computing

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Spaces of Riemannian metrics

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Computing the long term evolution of the solar system with geometric numerical integrators

Computational Optimal Transport

A few shades of interpolation

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Molecular quantum dynamics

Closed geodesics on surfaces and Riemannian manifolds

Christian Engwer, Markus Knappitsch

Mathematische Modellierung von Krebswachstum

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Aperiodic Order and Spectral Properties

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Profinite groups

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The adaptive finite element method

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The Willmore Conjecture

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Prime Tuples in Function Fields

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Polyhedra and commensurability

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Symmetry and characters of finite groups

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Das Problem der Kugelpackung

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Domino tilings of the Aztec Diamond

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Zero-dimensional symmetry

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Billiards and flat surfaces

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The Kadison-Singer problem

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Statistics and dynamical phenomena

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The ternary Goldbach Problem

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Matrixfaktorisierungen

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Mathematisches Fachgebiet

Algebra und Zahlentheorie

Analysis

Didaktik und Bildung

Diskrete Mathematik und Grundlagen

Geometrie und Topologie

Numerik und Wissenschaftliches Rechnen

Wahrscheinlichkeitstheorie und Statistik

Verbindung zu anderen Gebieten

Chemie und Geowissenschaft

Informatik

Ingenieurwissenschaft und Technik

Finanzwesen

Geistes- und Sozialwissenschaft

Biowissenschaft

Physik

Überlegungen zur Mathematik

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