On the polarity transform

יום ב', 23/04/2012 - 14:00
I shall describe the polarity transform for functions, were it came
from, and some of its properties, especially in comparison with the
well known Legendre transform ("duality" versus "polarity").
Then we shall study its (sub)differential structure, and show that
it may be used to solve new families of first order Hamilton--Jacobi type
equations as well as some second order Monge-Ampere type equations.
The first part is based on joint work with Vitali Milman, and the second
part on joint work with Yanir Rubinstein.