Main Page/Reading Seminar Stacks (2025): Difference between revisions

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|Hairuo
|Grothendieck Topologies / Sites
|Grothendieck Topologies / Sites
|Introduction to Grothendieck Toplogies /sites. More information can be found in [https://www.math.nagoya-u.ac.jp/~larsh/teaching/S2013_AG/grothendiecktopologies.pdf Notes on a Seminar by Michael Artin]. If one wishes to presert more on the \'etale site, [https://www.jmilne.org/math/CourseNotes/LEC.pdf Milne's Lecture Notes] has far more details.
|Introduction to Grothendieck Toplogies /sites. More information can be found in [https://www.math.nagoya-u.ac.jp/~larsh/teaching/S2013_AG/grothendiecktopologies.pdf Notes on a Seminar by Michael Artin]. If one wishes to presert more on the \'etale site, [https://www.jmilne.org/math/CourseNotes/LEC.pdf Milne's Lecture Notes] has far more details.

Revision as of 16:57, 24 February 2025

Logistics: TBD

Tentative schedule

date speaker title topics
Hairuo Grothendieck Topologies / Sites Introduction to Grothendieck Toplogies /sites. More information can be found in Notes on a Seminar by Michael Artin. If one wishes to presert more on the \'etale site, Milne's Lecture Notes has far more details.
Fibred Categories
Descent and Stack Conditions
Algebraic Spaces Part 1
Algebraic Spaces Part 2
Algebraic Spaces Part 3
Algebraic Stacks
Expedition: Quot Scheme and Hilbert Scheme
Quasicoherent Sheaves on Algebraic Stacks
Coarse Moduli Spaces and Moduli of Curves
Gerbes
Local Structure of Algebraic Stacks
Coarse Moduli Spaces and Geometric Invariant Theory
Future Potential Topics Bun_G (perhaps following Sorger), Artin Algebraization, Formal Moduli, etc. We'll figure it out when we get there.

References

  1. Martin Olsson's Algebraic Spaces and Stacks
  2. Laumon-Moret-Bailly Champs Algebriques
  3. Alper's Stacks and Moduli
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