Smooth Profinite Groups Study Group

Ambrus Pál and I organised a study group into the series of papers "Smooth Profinite Groups", by de Clercq and Florence, with the eventual goal being to understand their proof of the Norm Residue Isomorphism Theorem. A very neat summary of the idea behind the proof was written up by Wojtek Wawrów as entry 27 on the "Things I learnt this week" part of his website. A one sentence summary of the idea is that "We should be able to deduce the Norm-Residue Isomorphism Theorem using Galois Cohomology and Hilbert Theorem 90 type theorems, rather than having to build up the whole machinery of motivic homotopy".

The study group has now finished. A pdf overview of the original plan for the study group can be found here, with the only change being that the final two lectures were compressed into one. A huge thank you to all of our speakers.

1. (12/10) - Introduction and overview of the Norm-Residue isomorphism theorem- Ambrus Pál

2. (19/10) - G-categories, Witt vectors, and G-affine spaces: Sebastian Monnet : Notes

3. (26/10) - G-WtF modules and cyclotomic pairs: Dominik Bullach 

4. (02/11) - Properties of (G, Wr(L)(1)) torsors: Matthew Honnor

5. (09/11) - ``Theorem A", lifting general torsors: Ashvni Narayanan

6. (16/11) - An introduction to flags: Alex Torzewski

7. (23/11) - Lifting and gluing bundles: Mads Christensen

8. (30/11) - No Talk (Strike action)

9. (07/12) - "The uplifting theorem" sketch and the first part of the Norm-Residue isomorphism theorem: Jesse Pajwani

10. (09/12)- The Norm Residue Isomorphism Theorem II: Wojtek Wawrów (Date changed, will be in Huxley 340)