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Department of Mathematical Sciences


This week's seminars

Pure Maths Colloquium: Optimal partition problems and the honeycomb conjecture

Presented by Dorin Bucur in CM301, Université de Savoie

21 May 2018 16:00 in CM301

In 2005-2007 Burdzy, Caffarelli and Lin, Van den Berg
conjectured in different contexts that the sum (or the maximum) of the
first eigenvalues of the Dirichlet-Laplacian associated to arbitrary
cells partitioning a given domain of the plane, is asymptomatically
minimal on honeycomb structures, when the number of cells goes to
infinity. I will discuss the history of this conjecture, giving the
arguments of Toth and Hales on the classical honeycomb problem, and I
will prove the conjecture (of the maximum) for the Robin-Laplacian
eigenvalues. The results have been obtained with I. Fragala, B.
Velichkov and G. Verzini.

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Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.