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SUMMARY:The directed landscape - Duncan Dauvergne (Princeton)
DTSTART:20210608T130000Z
DTEND:20210608T140000Z
UID:TALK160957@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:The directed landscape is a random `directed metric' on the  \
 nspacetime plane that arises as the scaling limit of integrable models  \n
 of last passage percolation. It is expected to be the universal  \nscaling
  limit for all models in the KPZ universality class for random  \ngrowth. 
 In this talk\, I will describe its construction in terms of the  \nAiry li
 ne ensemble via an isometric property of the  \nRobinson-Schensted-Knuth c
 orrespondence\, and discuss some surprising Brownian structures that arise
  from this construction. \nBased on joint work with M. Nica\, J. Ortmann\,
  B. Virag\, and L. Zhang.
LOCATION:Zoom
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