EVENT DETAILS AND ABSTRACT

Title: The Cauchy problem for the homogeneous Monge-Ampere equation
Speaker: Yanir Rubinstein
Speaker Info: Stanford University
Brief Description:
Special Note:
Abstract:

The Cauchy problem for the homogeneous real and complex Monge-Ampere equations (HRMA and HCMA) arises naturally as the initial value problem for geodesics in spaces of Kahler metrics. In joint work with S. Zelditch (partly in progress) we first describe some of the general analytical obstructions to existence of solutions to the HCMA. We then analyze the special case of the HRMA where, using techniques of convex analysis, we are able to describe the exponential map of the space of toric metrics.