J. Eugster, J. P. Pridham
Published 2021-09-29, updated 2022-11-21Version 3
These are notes from an introductory lecture course on derived geometry, given by the second author, mostly aimed at an audience with backgrounds in geometry and homological algebra. 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. The main motivating applications given are in moduli theory, with practically applicable representability theorems.
Comments: 93pp; v2 minor changes; v3 minor additions, mostly references
Derived Algebraic Geometry and Deformation Quantization
Filtered formal groups, Cartier duality, and derived algebraic geometry
Tannakization in derived algebraic geometry
![QR code for arXiv:2109.14594 [math.AG]](http://oss.arxitics.com/images/favicon.svg)