Presented by: 
Bruce Driver, UC San Diego
Fri 18 Jul, 3:00 pm - 4:00 pm
Building 67, Room 442

In this talk I will give a brief introduction to T. Lyon's theory of rough paths and of ordinary differential equations driven by rough paths. We will then go on to describe some recent joint work with Thomas Cass and Christian Litterer on rough paths which are ``constrained'' to lie in a d-dimensional submanifold of a Euclidean space $E$. In particular I will explain the second order geometric calculus which arises out of this theory. If time permits, we will end with a rough version of Cartan’s development map which parameterizes all constrained rough paths by rough paths in a d-dimensional Euclidean space.