MATH Seminar

Title: Analysis of Monge-Ampere functions
Seminar: Analysis and Differential Geometry
Speaker: Joseph Fu of University of Georgia
Contact: Vladmir Oliker, oliker@mathcs.emory.edu
Date: 2015-11-24 at 4:00PM
Venue: MSC W301
Download Flyer
Abstract: The notion of Monge-Ampere (MA) function, introduced by the speaker around 1989 and subsequently generalized by R. Jerrard around 2005, relaxes the strong positivity properties enjoyed by convex functions while preserving the integrality of their derivatives. For example, just as for a convex function there is a natural notion of the Hessian determinant measure for any MA function, with the added flexibility that in the MA case this measure may be signed. In this talk we will give the basic definitions and discuss the main properties and central open questions of this class.