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UID:6b4b65dedf3ba44a7a5c7767b9a4c18c
CATEGORIES:Topology/Geometry Seminar
CREATED:20230320T151016
SUMMARY:Random surface, planar lattice model, and conformal field theory
LOCATION:Online (Click on the Zoom link)
DESCRIPTION:<p>Seminar website:&nbsp;<a href="https://sites.google.com/view/rutgersgeom
 etrytopologyseminar/home">https://sites.google.com/view/rutgersgeometrytopo
 logyseminar/home</a></p><p>Zoom link:&nbsp;<a href="https://rutgers.zoom.us
 /j/93519901180?pwd=bndOeGs5Umk1T050OTdUTjRGTHdGdz09">https://rutgers.zoom.u
 s/j/93519901180?pwd=bndOeGs5Umk1T050OTdUTjRGTHdGdz09</a></p>
CONTACT:Xin Sun (University of Pennsylvania)
X-EXTRAINFO:Abstract:\nLiouville quantum gravity (LQG) is a theory of random surfaces t
 hat originated from string theory. Schramm Loewner evolution (SLE) is a fam
 ily of random planar curves describing scaling limits of many 2D lattice mo
 dels at their criticality. Before the rigorous study via LQG and SLE in pro
 bability, random surfaces and scaling limits of lattice models have been st
 udied via  another approach in theoretical physics called conformal field t
 heory (CFT) since the 1980s. In this talk, I will demonstrate how a combina
 tion of ideas from LQG/SLE and CFT can be used to rigorously prove several 
 long standing predictions in physics on random surfaces and planar lattice 
 models, including the law of the random modulus of the scaling limit of uni
 form triangulation of the annular topology, and the crossing formula for cr
 itical planar percolation on an annulus. I will then present some conjectur
 es which further illustrate the deep and rich interaction between LQG/SLE a
 nd CFT.  Based on joint works with Ang, Holden, Remy, Xu, and Zhuang.
DTSTAMP:20260828T114631
DTSTART;TZID=America/New_York:20230328T160000
DTEND;TZID=America/New_York:20230328T170000
SEQUENCE:0
TRANSP:OPAQUE
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