
Recent Posts
Categories
Blogroll
Recent Comments
Archives
 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
 Agol Akshay Venkatesh andras schiff Bach Barry Mazur Bergeron Borel Bourgeois Pig Buzzard Chess Class Number Problem Coffee Coleman completed cohomology cricket CSO cyclotomic integers David Geraghty Deligne Ellenberg Elsevier Emerton Fargues Fermat Fred Diamond Fred Diamond's Beard Galois Representations Gee George Boxer Geraghty Glenn Gould Gowers Gross Grothendieck Helfgott Hida Hilbert modular forms Intelligentsia Inverse Galois Problem Joel Specter John Voight Jordan Ellenberg Ktheory KaiWen Kevin Buzzard Langlands Leopoldt Conjecture Matthew Emerton Michael Harris MO modular forms Music Nonsense Ouroboros Perfectoid Spaces Peter Scholze Poonen Puzzle Richard Moy RLT Schoenberg Scholze Schubert Serre Soule subfactors Tate Thorne Tilting Toby Gee torsion Venkatesh Weinstein Zagier Zywina
Meta
Tag Archives: completed cohomology
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 Bergeron, Borel, completed cohomology, Scholze, Serre, torsion, Venkatesh
Leave a comment
H_2(Gamma_N(p),Z)
In this post (which is a followup to the last post), I wanted to compute the group , where is the congruence subgroup of for large enough and is prime. In fact, to make my life easier, I will also … Continue reading
Stable completed homology without QuillenLichtenbaum
Having just made (hopefully) the final revisions on my paper on stable completed cohomology groups, I wanted to record here a few remarks which didn’t otherwise make it into the paper. The first is that, in addition to the result … Continue reading
Posted in Mathematics
Tagged Borel, completed cohomology, Ktheory, Milnor, Moore, Neisendorfer, Paul Goerss, Quillen, Soule
1 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, Emerton, Michael Harris, Scholze, torsion
Leave a comment
Virtual Congruence Betti Numbers
Suppose that is a real semisimple group and that is a compact arithmetic locally symmetric space. Let us call a cohomology class tautological if it is invariant under the group . For example, if is a 3manifold, then the tautological … Continue reading
Posted in Mathematics
Tagged Agol, Boston, completed cohomology, congruence subgroups, Dunfield, Ellenberg, Emerton, homology spheres, Ktheory
8 Comments