This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based
on the author's memoir L. Positselski, Memoirs of the American Math. Society 212 (2011) …

The concept of an abelian DG-category, introduced by the first-named author in arXiv:
2110.08237, unites the notions of abelian categories and (curved) DG-modules in a …

For a locally presentable abelian category B with a projective generator, we construct the
projective derived and contraderived model structures on the category of complexes …

We construct an" almost involution" assigning a new DG-category to a given one, and use
this construction in order to recover, say, the abelian category of graded modules over the …

Semi-Infinite Geometry is a theory of" doubly infinite-dimensional" geometric or topological
objects. In this book the author explains what should be meant by an algebraic variety of …

Contraherent cosheaves are module objects over algebraic varieties defined by gluing
using the colocalization functors. Contraherent cosheaves are designed to be used for …

We show that Krause's recollement exists for any locally coherent Grothendieck category
whose derived category is compactly generated. As a source of such categories, we …

Relative Nonhomogeneous Koszul Duality Page 1 Relative Nonhomogeneous Koszul Duality
Leonid Positselski Frontiers in Mathematics Page 2 Page 3 Frontiers in Mathematics Advisory …

Let R! A be a homomorphism of associative rings, and let. F; C/be a hereditary complete
cotorsion pair in R-Mod. Let. FA; CA/be the cotorsion pair in A-Mod in which FA is the class …

We construct the semi-infinite tensor structure on the semiderived category of quasi-
coherent torsion sheaves on an ind-scheme endowed with a flat affine morphism into an ind …