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.

All talks take place in room WSC-N-U-3.05 on the 3rd floor in the department

Monday | Tuesday | Wednesday | Thursday | Friday | |
---|---|---|---|---|---|

9:00 - 10:30 | Østvær | Østvær | Østvær | Rydh | |

Coffee | Coffee | Coffee | Coffee | ||

11:00 - 12:30 | Hoskins | Hoskins | Hoskins | Østvær | |

Registration | Lunch | Lunch | Lunch | Lunch | |

14:00 - 15:30 | Yakerson | Q&A / Exercises | Q&A / Exercises | Q&A / Exercises | |

Coffee | Coffee | Coffee | Coffee | ||

16:00 - 17:30 | Rydh | Rydh | Rydh | Rydh |

Lecture notes for the first lecture

Lecture notes for the second lecture

Lecture notes for the third lecture

Lecture notes for the fourth lecture

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.

Plan of the lectures:

- Lecture 1: Quotient stacks and good moduli spaces
- Lecture 2: Local structure of stacks
- Lecture 3: Deformation theory and coherent completion
- Lecture 4: Tannaka duality, Artin approximation and equivariant Artin algebraization
- Lecture 5: Applications