UCLA Mathnet Login

Gilles Pisier

Texas A&M
Tuesday, October 22, 2013 to Saturday, October 26, 2013

Grothendieck’s Inequality in the XXIst Century
Tuesday, October 22, 2013
3:00 - 3:50pm, ​MS 6627

Abstract:  In a famous 1956 paper, Grothendieck proved a fundamental inequality involving the scalar products of sets of unit vectors in Hilbert space, for which the value of the best constant KG (called the Grothendieck constant) is still not known. Surprisingly, there has been recently a surge of interest on this inequality in Computer Science, Quantum physics and Operator Algebra Theory. The talk will describe some of these recent developments

The Importance of Being Exact
Wednesday, October 23, 2013
3:00-3:50pm, MS 6627

Abstract:  The notion of an exact operator space (generalizing Kirchberg's notion for CL-algebras) will be discussed in connection with versions of Grothendieck's inequality in Operator Space Theory.

Quantum Expanders
Thursday, October 24, 2013
3:00 - 3:50pm, MS 6627

Abstract:  Quantum expanders will be discussed with several recent applications to Operator Space Theory. They can be related to "smooth" points on the Analogue of the Euclidean unit sphere when scalars are replaced by N [1] N-matrices. The exponential growth of quantum expanders generalizes a classical geometric fact on n-dimensional Hilbert space (corresponding to N = 1).

Gilles Pisier

Gilles I. Pisier (born 18 November 1950) is a Professor of Mathematics at the Pierre and Marie Curie University and a Distinguished Professor and A.G. and M.E. Owen Chair of Mathematics at the Texas A&M University.[1][2] He is known for his contributions to several fields of mathematics, including functional analysisprobability theoryharmonic analysis, and operator theory. He has also made fundamental contributions to the theory of C*-algebras.[3] (Source: Wikipedia)