Algebraic stacks and the moduli stack of curves

Reading Seminar


  Th 11:00 - 11:50 AM

Via Zoom
(email Adrian if you would like to attend)

   
  Adrian, Bob, JQ, and Yano are running a reading seminar on algebraic stacks and the moduli stack of curves, following Jarod Alper's lectures on the topic.

Schedule of topics:

Week of August 23
 Discussion
 Fantechi's Stacks for everybody
Week of August 30
 Discussion
 Jonathan and Yano's Section 5 of An introduction to moduli stacks, with a view towards Higgs bundles on algebraic curves
Week of September 6
 Discussion
 Jarod's Lecture 1 on Introduction--motivation, history and the functorial worldview, and Lecture 2 on The etale experience -- sites and sheaves.
Week of September 13
 Discussion
 Jarod's Lecture 3 on Groupoids and prestacks.
Week of September 20
 Discussion
 Jarod's Lecture 4 on Stacks.
Week of September 27
 Discussion
 Jarod's Lecture 5 on Algebraic spaces and stacks.
Week of October 4
 Discussion Jarod's Lecture 6 on First properties of stacks.
Week of October 11 Discussion Jarod's Lecture 7 on Representability of the diagonal.
Week of October 18 SKIP
 SKIP -- SEMINAR LECTURE
Week of October 25 Discussion Jarod's Lecture 8 on Dimension, tangent spaces, and residual gerbes.
Week of November 1 Discussion Jarod's Lecture 9 on Characterization of Deligne--Mumford stacks.
Week of November 8 Discussion
 Jarod's Lecture 10 on Geometry of DM stacks.
Week of November 15 Discussion Jarod's Lecture 11 on Existence of coarse moduli spaces.
Week of November 22
 NO MEETING
 THANKSGIVING
Week of November 29 Discussion Jarod's Lecture 12 on Nodal curves.
Week of December 6 Discussion Jarod's Lecture 13 on Stable curves.
TBD Week of December 13
 Discussion Jarod's Lecture 14 on the Stack of all curves.


References:
  1. Jarod Alper's lectures.
  2. Barbara Fantechi's Stacks for everybody.
  3. Jonathan and Yano's Section 5 of An introduction to moduli stacks, with a view towards Higgs bundles on algebraic curves.
  4. Behrend, Conrad, Edidin, Fantechi, Fulton, Gottsche, and Kresch's notes on DM stacks.
  5. Johan de Jong's Stacks Project.
  6. Joe Harris and Ian Morrison's Moduli of Curves


This webpage is yet another example of a shameless (indirect) copying of a webpage of Pasha Belorousski's at the University of Michigan.