# Tilting modules and parity sheaves

SPEAKER: Carl Mautner

TITLE: Tilting modules and parity sheaves

ABSTRACT: Highest weight categories appear as interesting categories of representations in Lie theory. They also occur in geometry, as categories of perverse sheaves. Highest weight categories have special objects called tilting objects. I will discuss joint work with D. Juteau and G. Williamson, in which we introduce the notion of a parity sheaf and have begun to explore its relationship to tilting in geometric highest weight categories.