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SUMMARY:Optimal honeycomb structures - Dorin Bucur (Université de Savoie 
 )
DTSTART:20190220T170000Z
DTEND:20190220T180000Z
UID:TALK120610@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In 2005-2007 Burdzy\, Caffarelli and Lin\, Van den Berg conjec
 tured in different contexts that the sum (or the maximum) of the first eig
 envalues of the Dirichlet-Laplacian associated to arbitrary cells partitio
 ning a given domain of the plane\, is asymptomatically minimal on honeycom
 b structures\, when the number of cells goes to infinity. I will discuss t
 he 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 and Cheeger constants. The re
 sults have been obtained in joint works with I. Fragala\, G. Verzini and B
 . Velichkov<br>
LOCATION:Seminar Room 2\, Newton Institute
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