## Easter Term 2017: Perfectoid Student Seminar

Picture of the closed adic unit disc:
![Picture of the closed adic unit disc](https://www.mathi.uni-heidelberg.de/~mleonhardt/adictree2_small.jpg)

Between May and July 2017, Christos, Zhiyou and I were organising a student-led seminar on $p$-adic Hodge theory and (perfectoid) Shimura varieties.
It started off as a way of not-forgetting what Zhiyou and I learned at the [Arizona Winter School 2017](http://swc.math.arizona.edu/aws/2017/).
We then moved on to working on Scholze's [torsion paper](http://www.math.uni-bonn.de/people/scholze/Torsion.pdf).

### Schedule

#### $p$-adic Hodge theory

1. Thursday 04/05/2017, MR14, 4pm: Tate's "p-divisible groups" (Marius)
2. Thursday 11/05/2017, MR13, 3pm: The Hodge-Tate Decomposition (Christos)
3. Thursday 18/05/2017, MR13, 4pm: Primitive Comparison Theorem (Zhiyou)
4. Thursday 25/05/2017, MR13, 4pm: Fontaine's results (Gyujin, Leo)
5. Thursday 08/06/2017, MR13, 3:45pm: Shimura Varieties (Jack)
6. Thursday 15/06/2017, MR13, 4pm: Variations of Hodge structures (Ben)
7. Tuesday 20/06/2017, MR13, 2:30pm: Integral p-adic Hodge Theory (Tony)

#### Scholze's Torsion paper
8. Thursday 22/06/2017, MR13, 4pm: Motivation for studying Shimura varieties (Gyujin)
9. Tuesday 27/06/2017, MR5, 4pm: Introduction to perfectoid spaces (Marius)
10. Thursday 29/06/2017, MR13, 4pm: Overview (Zhiyou)
11. Thursday 06/07/2017, MR13, 4pm: Hodge-Tate period business (Christian)
12. Tuesday 11/07/2017, MR13, 2:30pm: Chapter IV, part 1 (Christos)
13. Thursday 13/07/2017, MR13, 4pm: Chapter IV, part 2 (Gyujin)
14. Thursday 20/07/2017, MR13, 4pm: Chapter V, part 1 (Marius)
15. Thursday 27/07/2017, MR13, 4:30pm: Chapter V, part 2 (Zhiyou)

#### Exercise Sessions

Alongside the seminar talks, we also had some example sessions where we mostly talked about exercises from the AWS notes.