Seminar Algebra und Zahlentheorie

Fargues-Fontaine Curves

The Oberseminar in WS20/21 is on Fargues-Fontaine curves. We follow closely lecture notes of Anschütz, see here for the program.

The seminar takes place on Wednesdays 10:15 - 11:45 via Zoom.

The same Zoom-link works each week. Please write to ruelling(a-in-o)uni-wuppertal.de if you are interested to attend via Zoom.

Talk Day Speaker
1. Introduction and discussion 04.11.20 Kay
2. Ramified Witt vectors 11.11.20 Kay
3. Tilt and Untilt
The pdf-file is corrupted, it doesn't work with Acrobat Reader, but you can read it with any less sophisticated pdf-reader.
The last three pages were added after the talk
18.11.20 Grétar
4. The ring \(\mathbb{A}_{\rm inf}\) 25.11.20 Christoph
5. The set \(|Y|\) and untilts of \(\mathcal{O}_{F}\) 02.12.20 Georg
6. Newton Polygons 09.12.20 Pablo
7. The Newton Polygon of elements in \(A_{\rm inf}\)
The last bit Newton PolygondII
16.12.20 Raju
8. The (schematic) Fargues-Fontaine curve
The notes part 1 and part 2 of the talk; the typed notes.
06.01.21 Dennis
9. The multiplicative structure of the graded ring defining the FF curve 13.01.21 Raju
10. It's a curve
The notes part 1, the notes part 2.
20.01.21
27.01.21
Fei
11. Vector bundles on the Fargues-Fontaine curve 03.02.21 Sascha
12. Sketch of the proof 10.02.21 Yingying