### Theme of Conference:

Random Matrix theory was first developed in the 1950s by Wigner, Dyson and Metha to describe the spectra of highly excited nuclei. Since then it has found application in many branches of Mathematics and Physics, from quantum field theory to condensed matter physics, quantum chaos, operator algebra, number theory and statistical mechanics. This workshop will focus on those aspects of random matrix theory that find application in probability. Specific themes will include: a) Brownian motion and the Riemann zeta function; b) Eigenvalues of non-Hermitian random matrices; c) Universality, sparse random matrices, transition matrices and stochastic unitary matrices; d) Matrix-valued diffusion, Brownian motion on symmetric spaces; e) Intertwining relationships in random matrix theory and quantum Markov processes.

### Confirmed participants

D. Applebaum (*Nottingham Trent*), Ph. Biane (*ENS Paris*), Ph. Bougerol (*Paris VI*), M. Capitaine (*Toulouse*), B. Collins (*ENS Paris*), P. Diaconis (*Stanford*), C. Donati-Martin (*Paris VI*), Y. Doumerc (*Toulouse*), E. Duenez (*Baltimore*), C. Durringer (*Toulouse*), D. Farmer (*Palo Alto*), Y. Fyodorov (*Brunel*), A. Gamburd (*Stanford*), F. Goetze (*Bielefeld*), I. Goldsheid (*QMUL*), S. Gonek (*Rochester*), B. Hambly (*Oxford*), R. Hudson (*Nottingham Trent*), C. Hughes (*Palo Alto*), A. Its (*Purdue University*), K. Johansson (*Stockholm*), B. Khoruzhenko (*QMUL*), A. Kuijlaars (*Leuven*), M. Ledoux (*Toulouse*), J. Moriarty (*Oxford*), A. Ozluk (*Maine*), V. Perez-Abreu (*CIMAT*), D. Petz (*Budapest*), I. Smolyarenko (*Cambridge*), G. Tanner (*Nottingham*), C. Tracy (*UC Davis*), A. Vershik (*St. Peterburg*), H. Widom (*UC Santa Cruz*), M. Yor (*Paris VI*).

### Location and Cost

The workshop will take place at the Mathematics Research Centre, University of Warwick. Accommodation for participants will be provided in bed & breakfast at a cost of approximately £25 per night.

### Further Information

Scientific enquiries may be addressed to Neil O'Connell (e-mail noc@maths.warwick.ac.uk).### Travel and Local Information

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