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ERC Advanced Grant Project

SDModels: Structured Discrete Models as a basis for studies

in Geometry, Numerical Analysis, Topology, and Visualization

The research of the SDModels project has the goal to connect traditionally quite distant fields of current mathematical research via common or structurally similar discrete (mostly: geometric) models. We try to thus make substantial contributions to mathematical research, by highlighting, developing, and exploiting theory for common structures and structural similarities that occur in problems/theories from diverse mathematical application areas. This involves, in particular, the areas of

  1. Discrete Geometry
  2. Discrete Differential Geometry
  3. Mesh Generation/Numerics of PDEs
  4. Topology, Topological Combinatorics
  5. Simplicial Quantum Gravity

The work in the project is concentrated in three Focus Areas, namely
Focus Area 1: High-complexity Geometry
Focus Area 2: Delaunay Geometry: Polyhedral models with circle/sphere patterns
Focus Area 3: Topological connectivity and diameter of Discrete Structures

Third ERC "SDModels" Workshop   March 23-26, 2015

at Freie Universität Berlin, for more details, see Events.


This project receives funding from the European

Research Council under the European Union's Seventh Framework Programme

(FP7/2007-2013) / ERC grant agreement n° 247029