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SUMMARY:Quantum spanning forests - Adrien Kassel (ENS - Lyon\; CNRS (Centr
 e national de la recherche scientifique))
DTSTART:20180719T133500Z
DTEND:20180719T142000Z
UID:TALK108151@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will introduce a new integrable statistical physics model\, 
 which we call a quantum spanning forest (QSF) and which provides a probabi
 listic framework for studying spanning-tree like structures coupled to a c
 onnection (with holonomies taking values in a unitary group of arbritrary 
 rank)\, both on finite and infinite graphs. I will explain that QSFs form 
 a special case of a new general family of probability measures which we ca
 ll determinantal subspace processes (DSP)\, and for which we develop an in
 dependent theory. Finally\, I will describe some relationships between QSF
 s and holonomies of random walk and the covariant Gaussian free field via 
 the study of electrical networks with holonomy. This is joint work with Th
 ierry L&eacute\;vy.
LOCATION:Seminar Room 1\, Newton Institute
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