Metric SYZ conjecture and non-archimedean geometry

TL;DR

This paper links a conjecture in non-archimedean geometry to a metric version of the SYZ conjecture, demonstrating that under certain assumptions, the conjecture can be proved broadly.

Contribution

It establishes a connection between non-archimedean geometry conjectures and the metric SYZ conjecture, providing a new approach to its proof.

Findings

Conditional proof of the metric SYZ conjecture

Broad applicability under certain non-archimedean assumptions

Advancement in understanding mirror symmetry

Abstract

We show that assuming a conjecture in non-archimedean geometry, then a metric formulation of the SYZ conjecture can be proved in large generality.