# Applied Mathematics Colloquium

## Dr. David Sossa

Friday, October 14, 2016

2:00 PM - 3:00 PM

2:00 PM - 3:00 PM

Mathematics/Psychology : 104

**Title:**Critical angles between two convex cones

**Speaker:**David Sossa, Universidad Técnica Federico Santa María, Valparaíso, Chile

**Abstract:**In this talk we discuss the following problem: given two closed convex cones, find the maximal angle between them. We present a general theory of maximal angle and critical angles, for a pair of closed convex cones via the optimization point of view. The angular analysis for a pair of specially structured cones will be also discussed. For instance, we work with linear subspaces, polyhedral cones, revolution cones, topheavy cones and cones of matrices.

Joint work with Alberto Seeger.