In this talk I will briefly introduce Cartan decompositions of semisimple Lie groups/algebras with some applications to quantum systems. I will also discuss how Riemannian and sub-Riemannian geometry can be used to study the cut locus of control systems arising from these decompo- sitions, after passing to a singular quotient space.

Tuesday, January 21, 2020 - 10:00 to 11:00

Thackeray Hall 427