A decade of metric geometry in the space of K\"ahler metrics
Tam\'as Darvas

TL;DR
This paper surveys recent developments over the past decade in the metric geometry of the space of Kähler metrics, highlighting key results and open problems in the field.
Contribution
It provides a comprehensive overview of recent progress and open questions in the metric geometry of Kähler metrics over the last ten years.
Findings
Summarizes key developments in the metric geometry of Kähler metrics
Highlights open problems and future research directions
Emphasizes progress made in the last decade
Abstract
We survey selected developments in the metric geometry of the space of K\"ahler metrics, emphasizing results from the past decade, highlighting open problems along the way.
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