
Recent Posts
Categories
Blogroll
Recent Comments
Archives
 January 2018
 December 2017
 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
 Cris Poor
 CSO
 David Geraghty
 David Yuen
 Deligne
 Dick Gross
 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
 Ktheory
 Ken Ribet
 Kevin Buzzard
 Langlands
 Leopoldt Conjecture
 LMFDB
 Mark Kisin
 Matthew Emerton
 Michael Harris
 MO
 modular forms
 Modularity
 MSRI
 Music
 Nonsense
 Patrick Allen
 Peter Scholze
 Richard Moy
 RLT
 Robert Coleman
 Schoenberg
 Schubert
 Serre
 Shekar Khare
 Tate
 TaylorWiles
 The Hawk
 Third Wave Coffee
 Toby Gee
 torsion
 Vlad Serban
 Vytas Paskunas
 Wintenberger
 Zagier
 Zili Huang
Meta
Tag Archives: Inverse Galois Problem
Central Extensions, Updated
I previously mentioned a problem concerning polynomials, whose motivation came from thinking about weight one forms and the inverse Galois problem for finite subgroups of I still like the polynomial problem, but I realized that I was confused about the … Continue reading
Posted in Mathematics
Tagged A5, Darstellungsgruppe, Inverse Galois Problem, Trivialities
Leave a comment
Prime divisors of polynomials
A heuristic model from the last post suggests that the “expected” order of the Galois group associated to a weight one modular form of projective type is infinite. And when one tries to solve the inverse Galois problem for central … Continue reading
Posted in Mathematics
Tagged Central Extensions, Inverse Galois Problem, Polynomials, Sieving
5 Comments
Inverse Galois Problems II
David Zywina was in town today to talk about a follow up to his previous results mentioned previously on this blog. This time, he talked about his construction of Galois groups which were simple of orthogonal type, in particular, the … Continue reading
Posted in Mathematics
Tagged David Zywina, George Boxer, Hodge Numbers, HodgeTate, Inverse Galois Problem, Siegel Modular Forms, Stefan Patrikis
1 Comment
Inverse Galois Problem
My favourite group as far as the inverse Galois problem goes is . This is not known to be a Galois group over for any , the difficulty of course being that is must correspond to an even Galois representation. … Continue reading
Posted in Mathematics
Tagged David Zywina, Galois Representations, Inverse Galois Problem, PSL(2), SL(2)
9 Comments