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SUMMARY:Permutations in Random Geometry
DTSTART:20230731T161500
DTEND:20230731T180000
DTSTAMP:20260407T101359Z
UID:a6782ada1680eb632b83c82c09743c3aa1f973f34ed19c8172c0f102
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jacopo Borga\, Stanford University\nRandom geometry and random
  permutations have been extremely active fields of research for several ye
 ars. The former is characterized by studying large planar maps and their c
 ontinuum limits\, i.e.\, the Brownian map\, Liouville quantum gravity surf
 aces\, and Schramm–Loewner evolutions. The latter is characterized by st
 udying large uniform permutations and (more recently) biased/pattern-avoid
 ing permutations and their continuum limits\, called permutons. These two 
 fields had evolved completely separately until recently when some surprisi
 ng connections emerged: it is possible to reconstruct some universal permu
 tons directly using Liouville quantum gravity surfaces and Schramm–Loewn
 er evolutions. We aim to report on these new connections that go through s
 ome naturally perturbed versions of the Tanaka stochastic equations.\n 
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STATUS:CONFIRMED
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