The Shafarevich Conjecture for
Hypersurfaces on Abelian Varieties
Berlin-Chemnitz Seminar, Winter 2020/21
The goal of this seminar is to study the proof by Lawrence and Sawin of the Shafarevich conjecture for smooth hypersurfaces in abelian varieties over number fields, see arXiv:2004.09046. We will have three afternoon meetings on zoom, each of them focused on different ingredients of the proof with three talks of 50 minutes plus discussion time. Details and further references can be found here.
Registration
If you would like to participate, please send us an email to receive the zoom login data. There are still some open talks, feel free to volunteer!Schedule
- Day 1: Thursday, 21.01.2021
- 14:00 - 15:00: Overview (Ariyan Javanpeykar) [Slides]
- 15:15 - 16:15: Tannakian categories of perverse sheaves (Amelie Flatt) [Slides]
- 16:30 - 17:30: Big monodromy from big Tannakian groups (Alex Betts)
Add-on: Some informal notes on big monodromy (Thomas Krämer)
- Day 2: Thursday, 28.01.2021
- 14:00 - 15:00: Intro to o-minimal geometry and algebraization (Luca Giovenzana)
- 15:15 - 16:15: Functional transcendence and the Ax-Schanuel theorem (Greg Baldi) [Slides]
- Day 3: Thursday, 18.02.2021
- 14:00 - 15:00: Hodge-Deligne systems (Christian Lehn)
- 15:15 - 16:15: Proof of Lawrence-Sawin's theorem I (Thomas Krämer)
- 16:30 - 17:30: Proof of Lawrence-Sawin's theorem II (Ariyan Javanpeykar)
Organisers
- Ariyan Javanpeykar (U Mainz / TU Chemnitz)
- Thomas Krämer (HU Berlin)
- Christian Lehn (TU Chemnitz)