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SUMMARY:Permutation in Random Geometry
DTSTART:20230731T170000
DTEND:20230731T175000
DTSTAMP:20260407T123303Z
UID:8b13c8d17d6161d8519af704a59fc14f3e1846a2cb8a20eb1d385cf8
CATEGORIES:Conferences - Seminars
DESCRIPTION: Jacopo Borga\, Stanford University\nRandom geometry and rand
 om permutations have been extremely active fields of research for several 
 years. The former is characterized by studying large planar maps and their
  continuum limits\, i.e.\, the Brownian map\, Liouville quantum gravity su
 rfaces\, and Schramm–Loewner evolutions. The latter is characterized by 
 studying large uniform permutations and (more recently) biased/pattern-avo
 iding permutations and their continuum limits\, called permutons. These tw
 o fields had evolved completely separately until recently when some surpri
 sing connections emerged: it is possible to reconstruct some universal per
 mutons directly using Liouville quantum gravity surfaces and Schramm–Loe
 wner evolutions. We aim to report on these new connections that go through
  some naturally perturbed versions of the Tanaka stochastic equations.\n\n
 \n-- A Probability and Stochastic Analysis Seminar --
LOCATION:MA 110
STATUS:CONFIRMED
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