[Lisa_teatalk] Fwd: **AUJOURD'HUI** : COLLOQUE DES SCIENCES MATHÉMATIQUES DU QUÉBEC / Paul Bourgade

Yoshua Bengio yoshua.bengio at gmail.com
Thu Oct 2 09:52:48 EDT 2014


Potentially interesting math talk today about the eigenspectrum of random
matrices:

---------- Forwarded message ----------
From: <CRM at crm.umontreal.ca>
Date: Thu, Oct 2, 2014 at 9:15 AM
Subject: **AUJOURD'HUI** : COLLOQUE DES SCIENCES MATHÉMATIQUES DU QUÉBEC /
Paul Bourgade
To: activites at crm.umontreal.ca


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COLLOQUE DES SCIENCES MATHÉMATIQUES DU QUÉBEC

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DATE :
Le jeudi 2 octobre 2014 / Thursday, October 2, 2014

HEURE / TIME :
16 h / 4:00 p.m.

CONFERENCIER(S) / SPEAKER(S) :
Paul Bourgade (New York University)

TITRE / TITLE :
Universality in random matrix theory

LIEU / PLACE :
CRM, UdeM, Pav. André-Aisenstadt, 2920, ch. de la Tour, salle 6214

RESUME / ABSTRACT :
Wigner stated the general hypothesis that the distribution of eigenvalue
spacings of large complicated quantum systems is universal, in the sense
that it depends only on the symmetry class of the physical system but not
on other detailed structures. The simplest case for this hypothesis
concerns large but finite dimensional matrices.

I will explain some historical aspects random matrix theory, as well as
recent techniques developed to prove eigenvalues and eigenvectors
universality, for matrices with independent entries from all symmetry
classes. The methods are both probabilist (random walks and coupling) and
analytic (homogenization for parabolic PDEs).


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Un café sera servi à 15h30 / Coffee will be served at 3:30 pm
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http://www.crm.umontreal.ca/Colloques/index.html
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