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INRIA Sophia Antipolis – Méditerranée Geometrica Monique Teillaud

OrbiCG Triangulations and meshes in new spaces http ://www- sop.inria.fr / geometrica /collaborations/ OrbiCG /. INRIA Sophia Antipolis – Méditerranée Geometrica Monique Teillaud RUG: University of Groningen, NL Institute of Mathematics and Computing Science Gert V egter

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INRIA Sophia Antipolis – Méditerranée Geometrica Monique Teillaud

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  1. OrbiCGTriangulations and meshesin new spaceshttp://www-sop.inria.fr/geometrica/collaborations/OrbiCG/ INRIA Sophia Antipolis – Méditerranée Geometrica Monique Teillaud RUG: Universityof Groningen, NL Institute of Mathematics and Computing Science GertVegter Kapteyn Astronomical Institute Rien van de Weijgaert

  2. Goals • design of algorithms relying on strongtheoreticalstudiesguaranteeing the validity of the computed structures • production of efficient and robustsoftware to beintegratedinto • experimentson real data

  3. multidisciplinarity key aspect of the collaboration • computer scientists • mathematicians • astronomers common goals

  4. axe I • topologicalproperties of the cosmicweb • use triangulations of the 3D flat torus [Caroli, Teillaud] • use alpha-shapes [Da, Yvinec] • compute Betti numbers

  5. axe I • topologicalproperties of the cosmic web • Alpha, Betti and the MegaparsecUniverse: on the Homology and Topology of the Cosmic Web. • Rien van de Weygaert, GertVegter, Herbert Edelsbrunner, Bernard J.T. Jones, PratyushPranav, Changbom Park, Wojciech A. Hellwing, Bob Eldering, Nico Kruithof, E.G.P. (Patrick) Bos, Johan Hidding, Job Feldbrugge, Eline ten Have, Matti van Engelen, Manuel Caroli, and Monique Teillaud. • In Transactions on Computational Science XIV, LNCS 6970, pages 60-101, 2011. • Twoother publications to appear

  6. axe II • hyperbolicperiodictriangulations case of the octagon (2D torus of genus 2) • theoreticalstudyof coveringspaces • implementationwill use triangulations in the hyperbolicplane (to befinalized) [Bogdanov, Devillers, Teillaud] • expected applications to variousfields veryexciting(and difficult) work, in progress (Bogdanov, Teillaud, Vegter)

  7. PhDstudents stronginvolvement • INRIA: • Manuel Caroli(defendedDec 2010, GertVegter in the committee) • MikhailBogdanov (startedOct 2010) • RUG: • PratyushPranav, • Johan Hidding, • MathijsWintraecken highlybeneficialmultidisciplinarity

  8. Events • manyvisits • two public workshops • Subdivide and Tile: Triangulatingspaces for understanding the world (46 participants) Nov2009, Lorentz Center, Leiden, NL • OrbiCG/Triangles Workshop on ComputationalGeometry, Dec2010, INRIA Sophia Antipolis - Méditerranée

  9. Future we are grateful to the Associate Team program of INRIA, whichhelpedus to fruitfullyworkduringthreeyears the collaboration will continue • weverymuch regret that INRIA eventuallydecided to stop the possibility of havingAssociate Teams withinEurope • we are exploring directions and westayoptimistic about findingotherfunding,albeit on a smallerscale

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