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SUMMARY:Wei Wu (NYU Shanghai)
DTSTART:20210416T140000Z
DTEND:20210416T150000Z
DTSTAMP:20260423T005721Z
UID:PatC/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PatC/36/">Ma
 ssless phases for the Villain model in d>=3</a>\nby Wei Wu (NYU Shanghai) 
 as part of Probability and the City Seminar\n\n\nAbstract\nThe XY and the 
 Villain models are mathematical idealization of real world models of liqui
 d crystal\, liquid helium\, and superconductors. Their phase transition ha
 s important applications in condensed  matter physics and led to the Nobel
  Prize in Physics in 2016. However we are still far from a complete mathem
 atical understanding of the transition. The spin wave conjecture\, origina
 lly proposed by Dyson and by Mermin and Wagner\, predicts that at low temp
 erature\, large scale behaviors of these models are closely related to Gau
 ssian free fields. I will review the historical background and  discuss so
 me recent progress on this conjecture in d>=3. Based on the joint work wit
 h Paul Dario (Tel Aviv).\n
LOCATION:https://researchseminars.org/talk/PatC/36/
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