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Building blocks towards modeling the physical world: analysis, geometry, computer arithmetics

Presented by: 
Yves Bertot INRIA Sophia Antipolis
Date: 
Tuesday 25th July 2017 - 11:00 to 12:00
Venue: 
INI Seminar Room 2
Abstract: 
In the long run, we should be able to formalize most of the design of cyber-physical systems and robots, to help detecting flaws at early stages of design. Among the many questions that arise, there is the question of going from an abstract design to a concrete implementation. I wish to describe two experiments where this path is taken.

  •  A question going from mathematical analysis to computer arithmetic: computing record numbers of decimals of PI
  •  A question going from geometry to combinatorial structures: describe triangulations and Voronoi Diagrams.

Part of this work was done in collaboration with Clément Sartori.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons