## Gilles Pisier

Distinguished Professor

A.G. and M.E. Owen Chair of Mathematics

### Personal

- Born november 18,
1950, in Nouméa.
- Significant other:
Cécile Delesalle.

### Education

- Baccalauréat Lycée
Buffon, Paris 1967.
- Math.Sup, Math.
Spé at Lycée Louis le Grand (Paris) 67-69.
- Ecole
Polytechnique (Paris) 69-72.
- DEA de
mathématiques pures, Université Pierre et Marie Curie, Paris VI, 1972
- Ph.D. Université
Paris VII, 1977 (adviser : Laurent Schwartz).

### Research Interests

- Functional
Analysis, Probability, Harmonic Analysis, Operator theory, C*-algebras.
- Vita and list of
publications (pdf).
- List of
publications from MathSciNet
- Preprints
available on arXiv
- Description of my
work (French) (ps)
(pdf)

Ostrowski
Prize
Ostrowski
Prize 1997
Salem
Prize 1979
Stefan
Banach Medal 2001
Académie
des Sciences de Paris (Member)
Polish
Academy of Science (Foreign Member)
Real Academia de
Ciencias de Zaragoza (Académico Correspondiente)
Indian National Academy of Science (Foreign Fellow)
Concentration
Week on Approximation Properties of Discrete Groups
and Operator Spaces
### TOPICS COURSE in
Fall 2014 (Math 663/600 planned : TR 9:35-10:50am Blocker 202)
:

### Title:
Tensor products of C*-algebras and Operator space theory

### Abstract:

The course will revolve around the famous Connes-Kirchberg open
problem.
The various equivalent forms of the problem will be described and
the necessary accompanying background will be presented. In addition
the general theory of tensor products of C* algebras
will be described. The notion of exact C* algebra and operator space
will play an important
role there, with
an emphasis on C* algebras associated to discrete groups. Various
forms of the non-commutative Grothendieck theorem will be presented
in view of its recent connection with Bell's inequality. An
introduction to quantum information theory will be given. Gaussian and
unitary random matrices will be used repeatedly to illustrate
the estimates by more "concrete" examples.

References: G. Pisier, An introduction to operator space theory,
Cambridge Univ. Press, 2003

N. Brown and N. Ozawa, C*-algebras and finite-dimensional
approximations, Graduate Studies in Mathematics, 88, American
Mathematical Society, Providence, RI, 2008.

N. Ozawa, About the QWEP conjecture, Internat. J. Math. 15
(2004), 501–530.

### Minicourse on Similarity Problems (TAMU July 2005)

Minicourse
2005
Grothendieck's
Theorem,
past and present
(pdf)
(where Grothendieck meets Einstein, Bell and the P=NP problem)

Grothendieck's
theorem past and present UNCUT and
EXPANDED (pdf)
### Lecture
Notes