Theorie homotopique des DG-categories
Goncalo Tabuada
TL;DR
This thesis explores advanced concepts in DG categories, their invariants, and their connections to triangulated categories and cluster algebras, providing new theoretical insights and methods.
Contribution
It introduces original contributions to the understanding of DG categories, their invariants, and links to triangulated categories and cluster algebras.
Findings
New invariants for DG categories
Enhanced understanding of Neeman's well-generated categories
Representation-theoretic approach to cluster algebras
Abstract
In this thesis we present several original contributions to the study of: - DG categories and their invariants; - Neeman's well-generated (algebraic) triangulated categories; - Fomin-Zelevinsky's cluster algebras approach via representation theory.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology