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UID:20250720T004618EDT-5178vt1uHl@132.216.98.100
DTSTAMP:20250720T044618Z
DESCRIPTION:Title: Delocalization of integer-valued height functions and th
 e Berezinskii-Kosterlitz-Thouless phase transition for O(2)-invariant spin
  models\n\nAbstract: In this talk\, we will discuss the relationship betwe
 en two types of two-dimensional lattice models: on the one hand\, we will 
 consider spin models with an O(2)-invariant interaction\, such as the XY a
 nd Villain models. On the other\, we study integer-valued height function 
 models\, where the interaction depends on the discrete gradient. We show t
 hat the delocalization of a height function model implies that an associat
 ed O(2)-invariant spin model decay phase. Motivated by this\, we also exte
 nd the recent work of Lammers to show that a certain class of integer-valu
 ed height functions undergo a roughening phase transition for all doubly p
 eriodic planar graphs (in particular\, on the square lattice). Together\, 
 these results give a new perspective on the Berezinskii-Kosterlitz-Thoules
 s phase transition for two-dimensional O(2)-invariant lattice models.\n	 \n
 \nZoom link: https://mcgill.zoom.us/j/89737173009?pwd=UzlwZkVPK0RnYXk4VGM2
 aXo4V3Q2QT09\n\n\n	This is joint work with Michael Aizenman\, Ron Peled\, a
 nd Jacob Shapiro.\n
DTSTART:20230323T153000Z
DTEND:20230323T163000Z
LOCATION:Room 1214\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Matan Harel (Northeastern University)
URL:/mathstat/channels/event/matan-harel-northeastern-
 university-347039
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