Recall that homological mirror symmetry, as conjectured by Kontsevich [K], relates the
derived category of coherent sheaves on a (nice) algebraic variety to the Fukaya category of …

Let T be a triangulated category with products. A subcategory S⊂ T is called colocalizing if it
is triangulated and closed under products. Given any class of objects T⊂ T, the smallest …

We exploit the equivalence between t-structures and normal torsion theories on a stable
∞∞-category to show how a few classical topics in the theory of triangulated categories, ie …

T-structures on triangulated categories were introduced in the early eighties by Beillison,
Berstein and Deligne in their study of the perverse sheaves on an algebraic or an analytic …

We classify compactly generated co-$ t $-structures on the derived category of a
commutative noetherian ring. In order to accomplish this, we develop a theory for compactly …

Let $\mathcal {A} $ be an abelian category, or more generally a weakly idempotent complete
exact category, and suppose we have two complete hereditary cotorsion pairs $(\mathcal …

Let (G,⊗) be any closed symmetric monoidal Grothendieck category. We show that K-flat
covers exist universally in the category of chain complexes and that the Verdier quotient of K …

GROTHENDIECK CATEGORIES AND THEIR DEFORMATIONS WITH AN APPLICATION TO
SCHEMES 1. Introduction This overview consists of two main Page 1 GROTHENDIECK …

Definable subcategories may be extended along a ring homomorphism directly, by using
their defining conditions in the new module category, or by tensoring up with the new ring …

We generalize the construction given in math. AG/0309435 of a" constant" t-structure on the
bounded derived category of coherent sheaves $ D (X\times S) $ starting with a t-structure …