This is the website for the DAG seminar centred around Tannaka duality for geometric stacks.
The goal of the seminar is to understand Stefanich's Tannaka duality statement, which refines Lurie's result by eliminating the tameness hypotheses, by means of an affineness result.
Prerequisites for the seminar are a bare-bones knowledge of derived algebraic geometry and an understanding of infinity-categories.
Quick Links: Syllabus • Course Notes • Meeting Time: Tuesdays, 16:30-18:00 UTC
Schedule
| Date | Title | Speaker | Materials |
|---|---|---|---|
| November 4 | Introduction and goals of the seminar | Seminar Organizer | Video |
| November 11 | Grothendieck Prestable Categories - I | Giovanni | Video, Notes |
| November 18 | Grothendieck Prestable Categories - II | Gustav | Video, Notes |
| November 25 | The 2-category Grothstcomp | Alexander | Video, Notes |
| December 02 | Almost rigid algebras | Grigory | |
| December 09 | Completed Relative Tensor Products | Swami | |
| December 16 | Admissibility of QCoh(X)cn | Robin | |
| January 6 | Sheaves of Grothendieck prestable categories | Nikolaus | |
| January 13 | 2QCohPstcomp-Affineness I | Timon | |
| January 20 | 2QCohPstcomp-Affineness II | Marine | |
| January 27 | Tannaka Duality | Seminar Organizer |
References
| Tannaka Duality and 1-affineness | Germán Stefanich | arXiv |
| Derived Algebraic Geometry VIII | Jacob Lurie | |
| A study in derived algebraic geometry Vol I | Dennis Gaitsgory, Nick Rozenblyum | |
| Spectral Algebraic Geometry | Jacob Lurie |
Participation
For access to the Zoom meetings and Discord server, please contact the seminar organizers.