An introduction to derived (algebraic) geometry

Abstract

Mostly aimed at an audience with backgrounds in geometry and homological algebra, these notes offer an introduction to derived geometry based on a lecture course given by the second author. The focus is on derived algebraic geometry, mainly in characteristic 0, but we also see the tweaks which extend most of the content to analytic and differential settings

Keywords

• derived algebraic geometry
• infinity categories
• simplicial methods
• hypergroupoids