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DTSTART:20180325T030000
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DTSTAMP:20260312T162810Z
UID:5af2c73c7bded335689193@ist.ac.at
DTSTART:20180524T164500
DTEND:20180524T180000
DESCRIPTION:Speaker: Dan Betea\nhosted by Laszlo Erdös\nAbstract: We look 
 at various measures on partitions coming from combinatorial representation
  theory: the so-called Schur measures and some variants. We are interested
  in fluctuations of the largest part(s) of said partitions --- discrete ve
 rsions of largest eigenvalues of random matrices. One gets the Airy 2 (Tra
 cy--Widom) fluctuations in the original Schur measure corresponding to the
  Baik--Deift--Johansson longest increasing subsequences theorem\; Airy 1 (
 GOE) and GSE fluctuations for random involutions (Baik--Rains\; Ferrari\; 
 Imamura--Sasamoto\; Baik--Barraquand--Corwin-- Suidan\; Betea--Bouttier--N
 ejjar--Vuletic\; Bisi--Zygouras)\; Airy 2 to 1 (along with a certain dual)
  fluctuations for symplectic and orthogonal Schur measures recently studie
 d by the author and for a related model of Bisi--Zygouras\; and finally fi
 nite temperature Airy2/Tracy--Widom fluctuations (interpolating between Gu
 mbel and regular Tracy--Widom\; between Edwards--Wilkinson and KPZ) for a 
 certain 'cylindric' version of the Baik--Deift--Johansson case (joint work
  of the author and Jeremie Bouttier). All such measures can be treated uni
 formly with the aid of fermionic Fock space (equivalently\, they are deter
 minantal processes)\, as was first championed by Okounkov. Most if not all
  results relate to last passage percolation problems in certain simple geo
 metries. All results are inspired by and have continuous random matrix ana
 logues. It is conjectured though remains unproven that each Airy-type dist
 ribution described above is universal for the geometry in question: the so
 -called KPZ universality.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Dan Betea: Integrable measures on partitions and Airy limit process
 es
URL:https://talks-calendar.ista.ac.at/events/1245
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