gradientag-2026-summer-moduli-space

GradieNTAG (Moduli space)

This is the information page for SFU reading group about moduli space for graduate students. (Last updated: 2026 June 18)

• Time: TBD
• Venue: TBD
• Format: 1 hour of presentation (mandatory), followed by 1 hour of discussion and exercise (optional)
• All participants are encouraged to present at least once.
• Reading the material before meeting is strongly encouraged, even if you are not the presenter. This ensures most participants are on similar progress as the meetings continue.

We will mainly follow the lecture notes by Victoria Hoskins (https://www.math.ru.nl/~vhoskins/moduli_and_GIT.html). Other supplementary materials you may find helpful:

1. Dori Bejleri’s Notes on Moduli spaces: https://math.umd.edu/~dbejleri/teaching/math259xfa19/
2. Jarod alper’s notes (Stacks and Moduli): https://sites.math.washington.edu/~jarod/

Topics in these materials may be discussed on demand.

Suggested prerequisite / co-requisite:

• Scheme theory (Hartshorne Chapters 1 and 2)
• Group theory (undergrad level)
• Basic category theory (You should be fairly familiar with the language, e.g. you should know what functors are)

The tentative meeting plan is below. If you have any question, please contact Karolyn So (wsa57 at sfu dot ca) or Chi Ki Ngai (ckn10 at sfu dot ca).

Date	Content	Supplementary material	Person in charge
Week 1	Introduction and scheme theory	TBD	Chi Ki
Week 2	Functor of points, moduli problems and moduli functors	Sections 2.1-2.2 of the main lecture notes	Karolyn
Week 3	Fine and coarse moduli spaces, pathologies, constructing moduli spaces	Sections 2.3-2.6 of the main lecture notes	TBD