
Recent Posts
Categories
Blogroll
Recent Comments
Archives
 November 2017
 October 2017
 September 2017
 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
 Beethoven
 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
 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
 Richard Moy
 RLT
 Robert Coleman
 Schoenberg
 Schubert
 Serre
 Shekar Khare
 subfactors
 Tate
 Third Wave Coffee
 Toby Gee
 torsion
 Vytas Paskunas
 Wintenberger
 Zagier
Meta
Monthly Archives: September 2014
Applying for an NSF grant
It’s not easy to write a good grant proposal. But it can be even harder to write one for the first time, especially if you’re not quite sure who will be reading your proposal. So today, I want to say … Continue reading
The nearly ordinary deformation ring is (usually) torsion over weight space
Let be an arbitrary number field. Let be a prime which splits completely in , and consider an absolutely irreducible representation: which is unramified outside finitely many primes. If one assumes that is geometric, then the Fontaine–Mazur conjecture predicts that … Continue reading
Tricky Fingers
How is one supposed to play this exactly? One can neither can play a 14th in the right hand (my hands are not that big) nor play legato parallel 10ths in the left; hence some sort of arpeggiation is required. … Continue reading
The Artin conjecture is rubbish
Let be a continuous irreducible representation. Artin conjectured that the Lfunction is analytically continues to an entire function on (except for the trivial representation where the is a simple pole at one) and satisfies a functional equation of a precise … Continue reading
Posted in Mathematics
Tagged Andrew Booker, Artin, Cebotarev Density Theorem, Class Number Problem, Dick Gross, Goldfeld, GRH, Jo Dwyer, Langlands, Rubbish, Springer, Stark, Zagier
9 Comments
K_2(O_F) for number fields F
Belabas and Gangl have a nice paper ( Generators and relations for , which can be found here) where they compute for a large number of quadratic fields . There main result is a method for proving upper bounds for … Continue reading
Posted in Mathematics
Tagged Alexander Rahm, Aurel Page, Banaszak, Belabas, Bloch, Borel, Brownkin, Chern class map, Euler System, Gangl, Higher Regulators, Hutchinson, Ktheory, magma, pari, Popescu, Soule, Stark, Tricky Computation, Zagier
Leave a comment
Intermezzo
Scholze is giving a course at Berkeley! Follow Jared Weinstein’s lecture notes from the course here. I believe that the lectures are also being recorded and will be available approximately one week after each lecture; I will add a link … Continue reading
Posted in Waffle
Tagged Bourbaki, Chablis, Colloquia, Gowers, Jared Weinstein, Peter Scholze, Sowa, Suslin
5 Comments