Fiber Symmetrization in the Space of Matrices

Explore fiber symmetrization in the space of matrices through this 27-minute lecture by Julian Haddad at the Hausdorff Center for Mathematics. Delve into the process defined by Bianchi, Gardner, and Gronch that generalizes Steiner symmetrization to higher dimensions, replacing one-dimensional lines with m-dimensional subspaces. Examine its application in the space of n * m real matrices and discover interesting properties related to matrix multiplication. Review these properties and learn how they can be used to prove isoperimetric inequalities for convex bodies in matrix space.

Julian Haddad: Fiber symmetrization in the space of matrices