Some Consequences of Categorification
Dylan Rupel, Salvatore Stella

TL;DR
This paper demonstrates that categorification through valued quivers can prove several conjectures in acyclic skew-symmetrizable cluster algebras, advancing understanding in algebraic combinatorics.
Contribution
It provides a unified proof of multiple conjectures in cluster algebra theory using categorification techniques.
Findings
Proves conjectures related to d-vectors, g-vectors, and F-polynomials
Establishes categorification as a powerful tool in algebraic combinatorics
Connects categorification with key algebraic conjectures
Abstract
Several conjectures on acyclic skew-symmetrizable cluster algebras are proven as direct consequences of their categorification via valued quivers. These include conjectures of Fomin-Zelevinsky, Reading-Speyer, and Reading-Stella related to -vectors, -vectors, and -polynomials.
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