Potential theory in non-Archimedean geometry

Abstract: Non-Archimedean geometry is an analogue of complex geometry when the complex numbers are replaced by a non-Archimedean field. A. Thuillier and others have developed potential theory on Berkovich spaces as a non-Archimedean analogue of classical potential theory in the complex plane. I will give a gentle introduction to joint work with S. Boucksom, where we develop a higher-dimensional version of this theory. Convexity and piecewise linear structures play an important role in our study. Time permitting, I will also describe some applications.

algebraic geometrycombinatorics

Audience: researchers in the topic

(LAGARTOS) Latin American Real and Tropical Geometry Seminar

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