Coloring the Voronoi tessellation of lattices

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Event details

Date 25.01.2018
Hour 13:1514:15
Speaker Frank Vallentin (Universität zu Köln)
Location
Category Conferences - Seminars

In this talk I will introduce the chromatic number of a lattice: It is the least number of colors one needs to color the interiors of the cells of the Voronoi tessellation of a lattice so that no two cells sharing a facet are of the same color. I will introduce two lower bounds for the chromatic number: the sphere packing lower bound and the spectral lower bound. Using them I will show how to compute, sometimes using polynomial optimization, the chromatic number of several important lattices.

(based on joint work with David Madore and Mathieu Dutour Sikiric)
 

Practical information

  • Informed public
  • Free

Organizer

  • Maryna Viazovska

Contact

  • Monique Kiener

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