1
그로텐디크 위상
Grothendieck topologies, sites, sheaves on a site, and the étale/fppf/fpqc examples
2
스택
Groupoids, categories fibered in groupoids, descent, and the definition of a stack
3
대수적 스택
Algebraic (Artin / Deligne–Mumford) stacks via atlases, and the quotient stack [U/G]
4
모듈라이 공간
Moduli functors, fine vs coarse moduli spaces, and why the moduli stack is the right object
5
고유스택
Proper Deligne–Mumford stacks, their valuative criterion, and coarse moduli spaces
6
Deligne–Mumford 스택 위의 적분
Rational Chow groups, proper pushforward, and integration on Deligne–Mumford stacks