📁Homological algebra, triangulated and abelian categories

Categories of perverse sheaves

Supervisor: Alessio Cipriani

Description

Starting with a space \( X \) and a function \( p \) on it, one can construct the abelian category of \( p \)-perverse sheaves on \( X \) as the heart of a certain t-structure on the constructible derived category of \( X \). Categories of perverse sheaves appear in relation to intersection (co)homology, representations of quiver with relations, recollements of abelian categories.