
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: Venkatesh
The class number 100 problem
Some time ago, Mark Watkins busted open the “class number n” problem for smallish n, finding all imaginary quadratic fields of class number at most 100 (the original paper is here) Although the paper describes the method in detail, it … Continue reading
Posted in Mathematics, Uncategorized
Tagged 1842523, 5519, 97, Arithmetic Groups, Class Number Problem, Ellenberg, Gauss, Helfgott, Hyperbolic 3manifolds, LMFDB, Mark Watkins, MO, Pierce, Venkatesh
7 Comments
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
Gross Fugue
Here are some variations on the theme of the last post, which is also related to a problem of Dick Gross. In this post, I want to discuss weight one modular forms where the level varies in the “vertical” aspect … Continue reading
Posted in Mathematics
Tagged Dembélé, Gross, modular forms, Schaeffer, Venkatesh, weight one
Leave a comment
En Passant III
Question: When you are sick in bed, can you do any mathematics? I just spent the past few weeks with a sinus infection and was completely unable to do anything productive, that is, apart from writing an NSF grant (which … Continue reading
Torsion in the cohomology of cocompact arithmetic lattices
Various authors (including Bergeron and Venkatesh) have shown that the cohomology of certain arithmetic groups have a lot of torsion. For example, if is a cocompact arithmetic lattice in , and is an acyclic local system, then The proof relies … Continue reading
Posted in Mathematics
Tagged Bergeron, Emerton, Iwasawa Theory, Ouroboros, Poincare Duality, torsion, Venkatesh
4 Comments