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UID:20251224T100929EST-7009Rnzn6A@132.216.98.100
DTSTAMP:20251224T150929Z
DESCRIPTION:Title:The geometry of pure states in spherical spin glasses.\n
 \nAbstract: One of the central ideas in the physical theory for mean-field
  spin glasses developed in the 80s was that the system decomposes into `pu
 re states'\, organized in an ultrametric structure. In his seminal work Ta
 lagrand (2010) proved for a wide class of models the existence of such a d
 ecomposition -- a sequence of subsets on which the Gibbs measure asymptoti
 cally concentrates. Panchenko (2013) established the famous ultrametricity
  conjecture\, implying\, in particular\, that those subsets are organized 
 in a certain hierarchical structure. In the context of the spherical model
 s\, I will describe a new geometric picture for the above\, in which the h
 ierarchy is expressed through a tree of nested spherical sections. In part
 icular\, the pure states concentrate on spherical bands corresponding to t
 he leaves of this tree.\n
DTSTART:20180409T180000Z
DTEND:20180409T190000Z
LOCATION:Room 1214\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Eliran Subag\, Courant Institute at NYU
URL:/mathstat/channels/event/eliran-subag-courant-inst
 itute-nyu-286397
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