The finitistic dimension conjectures -- a tale of 3.5 decades
Birge Huisgen-Zimmermann
TL;DR
This paper reviews the history and development of finitistic dimension conjectures in homological algebra over the past 35 years, highlighting key milestones and methodological approaches.
Contribution
It provides a comprehensive chronological and methodological overview of the longstanding finitistic dimension conjectures.
Findings
Historical progress of the conjectures
Key methodological approaches used
Open problems and future directions
Abstract
We review the history of several homological conjectures, both from a chronological and a methodological point of view.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Advanced Combinatorial Mathematics · Algebraic Geometry and Number Theory