
Recent Posts
Categories
Blogroll
Recent Comments
Archives
 August 2017
 July 2017
 June 2017
 May 2017
 April 2017
 March 2017
 February 2017
 January 2017
 December 2016
 November 2016
 October 2016
 August 2016
 June 2016
 May 2016
 April 2016
 March 2016
 October 2015
 September 2015
 August 2015
 July 2015
 June 2015
 May 2015
 April 2015
 March 2015
 February 2015
 January 2015
 December 2014
 November 2014
 October 2014
 September 2014
 August 2014
 July 2014
 June 2014
 May 2014
 April 2014
 March 2014
 February 2014
 January 2014
 December 2013
 November 2013
 October 2013
 September 2013
 August 2013
 July 2013
 June 2013
 May 2013
 April 2013
 March 2013
 February 2013
 January 2013
 December 2012
 November 2012
 October 2012
 Akshay Venkatesh Ana Caraiani andras schiff Andrew Wiles Bach Bao Le Hung Barry Mazur BLGGT Borel Bourgeois Pig Chess Class Number Problem Coffee completed cohomology cricket CSO cyclotomic integers David Geraghty David Zywina Deligne Dick Gross Drinfeld Seminar Elsevier Fermat Fred Diamond Fred Diamond's Beard Galois Representations Gauss George Boxer Glenn Gould Gowers Grothendieck Hilbert modular forms Ian Agol Intelligentsia Inverse Galois Problem Jack Thorne James Newton Jared Weinstein Joel Specter John Voight Jordan Ellenberg Journalism Ktheory Ken Ribet Kevin Buzzard Langlands Leopoldt Conjecture LMFDB Mark Kisin Matthew Emerton Michael Harris MO modular forms Modularity MSRI Music Nonsense NPR Ouroboros Peter Scholze Puzzle Richard Moy RLT Robert Coleman Schoenberg Schubert Serre subfactors Tate Third Wave Coffee Toby Gee torsion Vytas Paskunas Zagier
Meta
Tag Archives: torsion
Ventotene, Part II
I promised to return to a more mathematical summary of the conference in Ventotene, and indeed I shall do so in the next two posts. One of the themes of the conference was bounding the order of the torsion subgroup … Continue reading
Posted in Uncategorized
Tagged Akshay Venkatesh, Borel, completed cohomology, Nicolas Bergeron, Peter Scholze, Serre, torsion
Leave a comment
Horizontal Vanishing Conjectures.
Let be a number field, and let be a reductive group over , and let be a congruence subgroup of . I can hear BC objecting that this doesn’t make sense without extra choices; if you have such an objection, … Continue reading
I don’t know how to prove Serre’s conjecture.
I find it slightly annoying that I don’t know how to prove Serre’s conjecture for imaginary quadratic fields. In particular, I don’t even see any particularly good strategy for showing that a surjective Galois representation — say finite flat with … Continue reading
Posted in Mathematics
Tagged Khare, Mazur Principle, Serre's conjecture, torsion, Wintenberger
Leave a comment
Local representations occurring in cohomology
Michael Harris was in town for a few days, and we chatted about the relationship between my conjectures on completed cohomology groups with Emerton and the recent work of Scholze. The brief summary is that Scholze’s results are not naively … Continue reading
Posted in Mathematics
Tagged completed cohomology, Matthew Emerton, Michael Harris, Peter Scholze, torsion
Leave a comment
Scholze on Torsion, Part IV
This is a continuation of Part I, Part II, and Part III. I was planning to start talking about Chapter IV, instead, this will be a very soft introduction to a few lines on page 72. At this point, we … Continue reading
Scholze on Torsion, Part III
This is a continuation of Part I and Part II. Before I continue along to section V.3, I want to discuss an approach to the problem of constructing Galois representations from the preScholze days. Let’s continue with the same notation … Continue reading
Posted in Mathematics
Tagged Galois Representations, Langlands, Peter Scholze, torsion, Vaporware
3 Comments
Scholze on Torsion, Part II
This is a sequel to Part I. Section V.1: Today we will talk about Chapter V. We will start with Theorem V.1.4. This is basically a summary of the construction of Galois representations in the RACSDC case, which follows, for … Continue reading
Posted in Mathematics
Tagged Bianchi Groups, Determinants, GaĆ«tan Chenevier, Galois Representations, Peter Scholze, torsion
6 Comments