## Speaker:

Connor Mooney

## Institution:

UC Irvine

## Time:

Tuesday, November 16, 2021 - 4:00pm

## Location:

NS2 1201

The Monge-Ampere equation det(D^2 u) = 1 arises in prescribed

curvature problems and in optimal transport. An interesting feature of the

equation is that it admits singular solutions. We will discuss new examples

of convex functions on R^n that solve the Monge-Ampere equation away from

finitely many points, but contain polyhedral and Y-shaped singular

structures. Along the way we will discuss geometric and applied motivations

for constructing such examples, as well as their connection to a certain

obstacle problem.