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CRM - University of Ottawa Distinguished Lecture Series

TITLE:Levels of entanglement
SPEAKER:Nolan Wallach (UCSD)
DATE:Vendredi, 24 Septembre 2010
TIME:3:30 pm
ROOM:B005
ABSTRACT:

One of the ways that quantum theory differs from classical physics is through the notion of entanglement. Which has become one of the main resources in the theoretical development of quantum information and quantum computing. In this lecture we will discuss several mathematical tools for the measurement of levels of multiparticle entanglement of a quantum state. Although most of the literature on entanglement is in the physics journals the concept of entanglement is mathematical and in its simplest form it is very elementary. The lecture will discuss techniques coming from invariant theory and algebraic geometry that are used in the measurement of entanglement.

About the speaker: Nolan Wallach received his Ph.D. in 1966 from the University of Washington. After spending three years at the University of California, Berkeley, he moved to Rutgers University where we became a Full Professor in 1972. In 1989 he moved to the University of California, San Diego, where has been ever since.

Professor Wallach has made numerous significant contributions to a broad range of areas of mathematics, including global differential geometry, noncommutative harmonic analysis, cohomology of locally symmetric spaces, representations of infinite dimensional Lie algebras, invariant theory, and the theory of symmetric functions. He is known for the proof of the Casselman - Wallach theorem on the uniqueness of globalization of Harish-Chandra modules. Professor Wallach was also among the pioneers in applying derived functor modules to the study of unitary representations.

Professor Wallach has published five books. His book with Armand Borel, titled "Continuous cohomology, discrete subgroups, and representations of reductive groups", and his two-volume book on real reductive groups, are two main references for experts in the areas of representation theory and automorphic forms. Professor Wallach has received several awards and fellowships, including an Alfred P. Sloan Fellowship (1972-1974) and a Linback Award for Research Excellence (1977). In 2004 he was elected to be a Fellow of the American Academy of Arts and Sciences. He worked as an Associate Editor of Annals of Mathematics (1997-2003) and an Editor for the Bulletin of American Mathematical Society, and was an invited speaker at the International Congress of mathematicians in Helsinki (1978).