Seminar Details
2009-09-22 (14.00) : Stiefel Manifolds and their Applications
At Euler building
Organized by Mathematical Engineering
Speaker :
Absil, Pierre-Antoine
Abstract :
Stiefel manifolds, or sets of orthonormal p-frames in R^n, are named after Eduard Stiefel (1909-1978),
who analyzed their topology in the 1930s. This presentation will be a reiteration of a talk that was part of the celebration
of Stiefel's 100th birthday at ETH Zurich. We will count dimensions, describe tangent spaces, visualize embedded and
quotient geodesics, and touch upon applications such as principal component analysis, Lyapunov exponent computation,
and blind source separation.