Séminaire Rajendra Bhatia (Ashoka University, India)
"The Cartan mean of positive definite matrices " Summary: the talk will describe the notion of a "geometric mean" of positive definite matrices. For two such matrices such a mean was studied in the physics, electrical engineering, and matrix theory literature for over four decades. For more than two of them this has been done more recently combining ideas from Riemannian geometry and matrix analysis. We will describe some of the ideas.