Unified Archimedean and non-Archimedean categorical Kähler framework

Develop a unified treatment of the Archimedean and non-Archimedean frameworks for categorical Kähler geometry.

Background

The paper proposes parallel structures for categorical Kähler geometry over Archimedean and non-Archimedean fields, including metrized objects, mass measures, Kähler potentials, and minimizing flows. The authors explicitly identify the lack of a unified treatment of these two settings as an unresolved problem.