We define a new type of Hall algebras associated eg with quivers with polynomial potentials.
The main difference with the conventional definition is that we use cohomology of the stack …

We define the notion of singular support of a coherent sheaf on a quasi-smooth-derived
scheme or Artin stack, where “quasi-smooth” means that it is a locally complete intersection …

In this paper we introduce a new notion of weight structure (w) for a triangulated category C;
this notion is an important natural counterpart of the notion of t-structure. It allows extending …

We prove that under a certain mild hypothesis, the DG category of D-modules on a quasi-
compact algebraic stack is compactly generated. We also show that under the same …

arXiv:1908.02975v7 [math.AG] 19 Jan 2021 Page 1 Épijournal de Géométrie Algébrique
epiga.episciences.org Volume 5 (2021), Article Nr. 1 Motives with modulus, I: Modulus sheaves …

We construct the strong weight complex functor for a stable infinity-category C equipped with
a bounded weight structure w. Along the way we prove that C is determined by the …

We describe explicitly the Voevodsky's triangulated category of motives (and give a
'differential graded enhancement'of it). This enables us to able to verify that DMgm ℚ is (anti) …

The goal of the paper is to show that the (derived) category of D-modules on the
stack\(Bun_G (X)\) is compactly generated. Here X is a smooth complete curve, and G is a …

The main goal of this paper is to define the Chow weight structure w Chow for the category
DM c (S) of (constructible) Beilinson motives over any excellent separated finite-dimensional …

We study two kinds of categorical traces of (monoidal) dg categories, with particular interest
in categories of Soergel bimodules. First, we explicitly compute the usual Hochschild …