TL;DR
This paper reviews recent advances in stable degeneration within algebraic K-stability theory, highlighting its significance in birational geometry.
Contribution
It provides an exposition of recent progress in stable degeneration and its role in algebraic K-stability, based on a symposium talk.
Findings
Summarizes recent progress in stable degeneration
Connects stable degeneration to algebraic K-stability
Highlights implications for birational geometry
Abstract
This expository article is based on the author's talk at the Kinosaki Algebraic Geometry Symposium 2025. We discuss some recent progress surrounding stable degeneration in algebraic K-stability theory.
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