The non-Archimedean Monge-Ampère operator

Abstract: Let $(X, L)$ be a polarized variety over a non-archimedean field K. In this talk I will explain how to define a notion of semi-positive metric on L on the Berkovich analytification $X^{\text{an}}$ of $X$, and how to define the non-archimedean Monge-Ampère measure associated to such a metric. If time permits I will explain how the non-archimedean Monge-Ampère operator can be related to the real MA operator on skeleta in some examples.

algebraic geometrycombinatorics

Audience: researchers in the topic

(LAGARTOS) Latin American Real and Tropical Geometry Seminar

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