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SUMMARY:Vector-valued Gaussian free field conditioned to avoid a ball: Ent
 ropic repulsion of the norm and Freezing of spins
DTSTART:20260129T153000Z
DTEND:20260129T173000Z
DTSTAMP:20260308T044500Z
UID:indico-event-1089@math-events.uni-bonn.de
DESCRIPTION:Speakers: Aleksandra Korzhenkova (EPF Lausanne)\n\nMotivated b
 y understanding the behavior of spin O(N) models at low temper-ature\, we 
 study the law of the two-dimensional vector-valued Gaussian freefield cond
 itioned to avoid a ball at every site of a subdomain. We prove that\,under
  this conditioning\, the norm of the massless field exhibits entropic repu
 l-sion\, while its angular components (spins) freeze at all mesoscopic sca
 les. Akey step in the analysis is to show that\, around any given point in
  the bulkof the range\, the unconditioned field has no holes. In this talk
 \, I will assumethis result and sketch how it leads to the entropic repuls
 ion and spin-freezingbehavior of the conditioned field. Joint work with A.
  Sepúlveda\n \nhttps://wt.iam.uni-bonn.de/fileadmin/WT/Inhalt/obersemina
 r/2026_01_29_Aleksandra_Korzhenkova.pdf\n\nhttps://math-events.uni-bonn.de
 /event/1089/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1089/
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