This is a learning seminar in deformation theory, the goal is to learn deformation functors and representability from ground up and eventually to understand deformation theory arguments in the literature.

Organizational meeting: JuLY 2, 2pm ET

Venue: Zoom

ID: 925 9012 0268

Passcode: complex that controls deformations — one word, all lowercase

References

Litt's course notes

FGA explained: Chapters 6 and 8 (you need to request a copy from your library to legally access the whole book, Chapter 8 available online)

Cotangent complex via DAG is defined in Appendix A of Bhatt-Ho-Patakfalvi-Schnell

Stacks: deformation theory

Schlessinger: Functors on Artin rings

Conrad-de Jong: Approximation of versal deformations

Hall-Rydh: Artin's criteria for algebraicity revisited

Schedule

Meetings are on Fridays at 3pm ET.

The format is 40+10+40: two 40-minutes parts with a 10-minute break in between, usually given by the same speaker.

Folder with notes.