EVENT DETAILS AND ABSTRACT

Title: Monge-Ampère energy on polarized affine varieties
Speaker: Yueqiao Wu
Speaker Info: University of Michigan
Brief Description:
Special Note:
Abstract:

As a generalization of the YTD conjecture for Fano varieties, Collins-Székelyhidi proved a version of the conjecture for log Fano cone singularities. Motivated by the variational approach, we will define a non-Archimedean Monge-Ampère energy in the setting of affine cones, generalizing the one defined for polarized pairs by Boucksom-Hisamoto-Jonsson. We will also see that this agrees with an energy functional defined earlier by Li, which computes the limit slope of the Archimedean Monge-Ampère energy.