EVENT DETAILS AND ABSTRACT

Title: Northwestern, Notre-Dame, UIC Complex Geometry Seminar: Metric geometry of the spaces of test configurations
Speaker: Mattias Jonsson
Speaker Info: University of Michigan
Brief Description:
Special Note:
Abstract:

When constructing canonical metrics in complex geometry, it is useful to consider potentials of metrics with less regularity. For example, T. Darvas showed that the completion of the space of Kahler potentials with respect to a natural metric is the space of potentials of finite energy. I will discuss joint work with S. Boucksom, where we study a trivially valued analogue of this picture, with test configurations playing the role of Kahler metrics.