GT Seminar: On Banach’s isometric subspaces problem

Abstract: In 1932 Banach asked if there exists a non-Euclidean normed vector space V and an integer 2 <= n < dim V such that all n-dimensional subspaces of V are isometric. The answer is negative for some pairs (n, dim V) and unknown for others. I will explain a novel differential geometric approach to the problem that settles the case n = 3. This is joint work with S. Ivanov and A. Nordskova.

This is a talk in our Geometry and Topology Seminar Series.