Tropicalization method in cluster algebras
Tomoki Nakanishi
TL;DR
This paper surveys the tropicalization method in cluster algebras, highlighting its recent developments and applications to Y-systems periodicities and dilogarithm identities.
Contribution
It provides an overview of the tropicalization approach and its role in understanding cluster algebra periodicities and related identities.
Findings
Tropicalization aids in analyzing Y-systems.
Connections between tropicalization and dilogarithm identities.
Recent progress in cluster algebra applications.
Abstract
This is a brief survey on the recently developing tropicalization method in cluster algebras and its applications to the periodicities of Y-systems and the associated dilogarithm identities.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Logic