Campuses:

Matrix methods

Monday, June 25, 2012 - 9:00am - 10:30am
Alice Guionnet (École Normale Supérieure de Lyon)
Large dimension expansion of matrix integrals has long been used to study combinatorial objects such as maps, that is graphs sorted by the genus of the surfaces in which they can be properly embedded. In this course, we shall study these expansions. We will first motivate this approach and consider formal expansions. The asymptotics expansions will require a more detailed study of the properties of the spectral measure of random matrices.
Wednesday, January 17, 2007 - 3:00pm - 3:50pm
Scott McCullough (University of Florida)
Many ideas from convex analysis and
real algebraic geometry extend canonically to the
operator space setting giving rise to the notions of
matrix (non-commutative) convex sets and functions.
These notions also model matrix inequalities
which are scalable in the sense that they do not
explicitly depend upon the size of the matrices
involved.

This talk will survey matrix convexity emphasizing the
rigid nature of convexity in the non-commutative semi-algebraic
setting. It may aslo include a discussion of
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