There will be three lecture courses - see below. In addition we will have time for exercises, question and answer sessions, discussions and some short bootcamp-talks.
The first bootcamp talk on Motives will be given by Maria Yakerson
Extra tutorial sessions will be decided upon request during the school.
|9:00 - 10:30||Østvær||Østvær||Østvær||Rydh|
|11:00 - 12:30||Hoskins||Hoskins||Hoskins||Østvær|
|14:00 - 15:30||Yakerson||Q&A / Exercises||Q&A / Exercises||Q&A / Exercises|
|16:00 - 17:30||Rydh||Rydh||Rydh||Rydh|
The nicest and easiest stacks are quotient stacks. The local structure theorem of stacks [AHR1, AHR2, AHHR3] says that every stack is étale-locally a quotient stack around a point with linearly reductive stabilizer. I will discuss the proof and some of the techniques used (deformation theory, coherent completion, Tannaka duality, Artin algebraization). Finally, I will present some applications to equivariant geometry, moduli and derived categories.
Preliminary plan of the lectures: