In a 2013 preprint, H. Raufi obtained, using complex geometry, a matrix-valued extension of Prekopa’s theorem. I will discuss a new approach to this result, and in particular present a Brascamp-Lieb variance inequality for matrix-valued log-concave potentials.
Amenability, group C*-algebras and operator spaces
Gilles Pisier (Texas A & M University)
We will review several results and open problems relating amenability to two properties of group C* algebras introduced or studied by E. Kirchberg, namely the local lifting property (LLP) and the weak expectation property (WEP).