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In this talk, we will focus on cluster algebras of finite type, which are those with finitely many A- and X-variables.
If $R \to S$ is essentially of finite type then $S$ is a $P$-ring.
Let $A \to B$ be a ring map of finite type.
Mapping class groups of finite type surfaces have been extensively studied and are, for the most part, well-understood.
Bill played a founding role in the study of subshifts of finite type, and his work on nilflows was highly regarded.
The classification of finite type cluster algebras, due to Fomin and Zelevinsky, coincides with the classification of reduced crystallographic root systems.
Abstract: We will explain that for any separated scheme of finite type over a field of characteristic zero, the DG category Dbcoh(X) is homotopically finitely presented.
This condition says that either a Diophantine condition is satisfied or there exists a point of finite type.
We construct spectral metric spaces for Gibbs measures on a one-sided topologically exact subshift of finite type.
Using this we show that the shift automorphism on the bilateral C∗-algebra associated with an aperiodic irreducible shift of finite type has the Rohlin property.
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Notice that the hypotheses on (Deltaphi, dA) are a sort of finite-type assumption and are automatically verified when ϕ is a subharmonic non-harmonic polynomial.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com