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UID:20250704T195445EDT-2718pKIFs8@132.216.98.100
DTSTAMP:20250704T235445Z
DESCRIPTION:Title: Universal Optimality of Hexagonal lattices\n\nAbstract: 
 It is well-known that the densest packing of the plane comes from the hexa
 gonal lattice. A continuous version of this question is the universal opti
 mality\, asking whether the hexagonal lattice is the unique minimum config
 uration for each Gaussian potential. This deeper question is currently wid
 e open. In the special case one restricts to the case of lattice configura
 tions this can be rephrased as saying that the hexagonal lattice is the un
 ique minimum for theta functions. This special case was established by Mon
 tgomery using a technique tailored to the space of lattice\, which does no
 t seem to extend to higher spaces of configuration. I will present a new p
 roof of Montgomery's theorem obtained jointly with Naser Sardari and expla
 in how our new strategy promises to adapt to higher spaces of configuratio
 ns\, which is ongoing work in progress.\n\n \n\nZoom link: https://umontre
 al.zoom.us/j/83118539851?pwd=bk5IOXBLNDRNSnR4dEcrSUFJVWhPZz09\n\nMeeting I
 D: 831 1853 9851\n\nPasscode: 215516\n
DTSTART:20230120T193000Z
DTEND:20230120T203000Z
SUMMARY:Carlo Pagano (Concordia University)
URL:/mathstat/channels/event/carlo-pagano-concordia-un
 iversity-345038
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