On differential graded categories
B Keller - arXiv preprint math/0601185, 2006 - arxiv.org
arXiv:math/0601185v5 [math.KT] 19 Jun 2006 Page 1 arXiv:math/0601185v5 [math.KT] 19 Jun
2006 ON DIFFERENTIAL GRADED CATEGORIES BERNHARD KELLER Abstract. Differential …
2006 ON DIFFERENTIAL GRADED CATEGORIES BERNHARD KELLER Abstract. Differential …
The homotopy theory of dg-categories and derived Morita theory
B Toën - Inventiones mathematicae, 2007 - Springer
The main purpose of this work is to study the homotopy theory of dg-categories up to quasi-
equivalences. Our main result is a description of the mapping spaces between two dg …
equivalences. Our main result is a description of the mapping spaces between two dg …
Catégories dérivées
B Keller - Algèbre et applications 1: Algèbres non associatives et …, 2022 - books.google.com
Les catégories dérivées ont été conçues comme un «formalisme pour l'hyperhomologie»(
Verdier 1996) au début des années 1960. À cette époque, elles n'étaient utilisées que dans …
Verdier 1996) au début des années 1960. À cette époque, elles n'étaient utilisées que dans …
Lectures on dg-categories
PF Baum, G Cortiñas, R Meyer… - Topics in algebraic and …, 2011 - Springer
The purpose of these four lectures is to provide an introduction to the theory of dg-
categories. There are several possible points of view to present the subject, and my choice …
categories. There are several possible points of view to present the subject, and my choice …
[图书][B] Noncommutative motives
G Tabuada - 2015 - books.google.com
The theory of motives began in the early 1960s when Grothendieck envisioned the
existence of a" universal cohomology theory of algebraic varieties". The theory of …
existence of a" universal cohomology theory of algebraic varieties". The theory of …
Invariants additifs de dg-catégories
G Tabuada - International Mathematics Research Notices, 2005 - academic.oup.com
A l'aide des outils de l'algèbre homotopique de Quillen, on construit “l'invariant additif
universel,” c'est-à-dire un foncteur défini sur la catégorie des petites dg-catégories et à …
universel,” c'est-à-dire un foncteur défini sur la catégorie des petites dg-catégories et à …
Derived noncommutative schemes, geometric realizations, and finite dimensional algebras
DO Orlov - Russian Mathematical Surveys, 2018 - iopscience.iop.org
The main purpose of this paper is to describe various phenomena and certain constructions
arising in the process of studying derived noncommutative schemes. Derived …
arising in the process of studying derived noncommutative schemes. Derived …
Extension dimensions of derived and stable equivalent algebras
J Zhang, J Zheng - Journal of Algebra, 2024 - Elsevier
The extension dimensions of an Artin algebra give a reasonable way of measuring how far
an algebra is from being representation-finite. In this paper we mainly study the behavior of …
an algebra is from being representation-finite. In this paper we mainly study the behavior of …
D-split sequences and derived equivalences
W Hu, C Xi - Advances in Mathematics, 2011 - Elsevier
In this paper, we introduce the so-called D-split sequences and show that each D-split
sequence gives rise to a derived equivalence via a tilting module. In particular, we obtain …
sequence gives rise to a derived equivalence via a tilting module. In particular, we obtain …
Invariance de la K-théorie par équivalences dérivées
DC Cisinski - Journal of K-theory, 2010 - cambridge.org
The aim of these notes is to prove that any right exact functor between reasonable
Waldhausen categories, that induces an equivalence at the level of homotopy categories …
Waldhausen categories, that induces an equivalence at the level of homotopy categories …