-
Recent Posts
Recent Comments
- Egan on Midlife crisis
- Persiflage on Elementary Class Groups Updated
- Franz Lemmermeyer on Elementary Class Groups Updated
- The horizontal Breuil-Mezard conjecture | Persiflage on Murphy’s Law for Galois Deformation Rings
- The horizontal Breuil-Mezard conjecture | Persiflage on Locally induced representations
Blogroll
Categories
Tags
- Akshay Venkatesh
- Ana Caraiani
- Andrew Wiles
- Bach
- Bao Le Hung
- Barry Mazur
- Beethoven
- Class Field Theory
- Coffee
- completed cohomology
- David Geraghty
- David Helm
- Dick Gross
- Galois Representations
- Gauss
- George Boxer
- Gowers
- Grothendieck
- Hausdorff Trimester
- Hilbert modular forms
- Inverse Galois Problem
- Jack Thorne
- James Newton
- Joel Specter
- John Voight
- Jordan Ellenberg
- Kevin Buzzard
- Langlands
- Mark Kisin
- Matthew Emerton
- Michael Harris
- modular forms
- Patrick Allen
- Peter Scholze
- Richard Moy
- Richard Taylor
- RLT
- Robert Coleman
- Ruochuan Liu
- Serre
- Shiva Chidambaram
- The Hawk
- Toby Gee
- torsion
- Vincent Pilloni
Archives
- February 2024 (1)
- October 2023 (2)
- September 2023 (2)
- June 2023 (2)
- May 2023 (2)
- April 2023 (1)
- March 2023 (1)
- February 2023 (4)
- November 2022 (2)
- July 2022 (2)
- June 2022 (2)
- April 2022 (3)
- March 2022 (1)
- February 2022 (1)
- January 2022 (1)
- December 2021 (1)
- November 2021 (1)
- August 2021 (2)
- June 2021 (1)
- April 2021 (2)
- March 2021 (2)
- February 2021 (2)
- November 2020 (2)
- October 2020 (3)
- June 2020 (2)
- May 2020 (2)
- April 2020 (5)
- March 2020 (8)
- February 2020 (2)
- January 2020 (3)
- December 2019 (2)
- November 2019 (1)
- October 2019 (4)
- September 2019 (4)
- August 2019 (3)
- July 2019 (2)
- June 2019 (2)
- May 2019 (1)
- April 2019 (2)
- March 2019 (3)
- February 2019 (1)
- January 2019 (5)
- December 2018 (3)
- November 2018 (2)
- October 2018 (3)
- September 2018 (1)
- August 2018 (2)
- July 2018 (1)
- June 2018 (3)
- May 2018 (2)
- April 2018 (2)
- March 2018 (1)
- February 2018 (2)
- January 2018 (3)
- December 2017 (2)
- November 2017 (3)
- October 2017 (4)
- September 2017 (2)
- August 2017 (1)
- July 2017 (2)
- June 2017 (4)
- May 2017 (1)
- April 2017 (3)
- March 2017 (5)
- February 2017 (2)
- January 2017 (2)
- December 2016 (3)
- November 2016 (2)
- October 2016 (3)
- August 2016 (1)
- June 2016 (1)
- May 2016 (3)
- April 2016 (1)
- March 2016 (4)
- October 2015 (1)
- September 2015 (1)
- August 2015 (1)
- July 2015 (1)
- June 2015 (3)
- May 2015 (3)
- April 2015 (2)
- March 2015 (3)
- February 2015 (1)
- January 2015 (5)
- December 2014 (2)
- November 2014 (2)
- October 2014 (2)
- September 2014 (6)
- August 2014 (7)
- July 2014 (5)
- June 2014 (3)
- May 2014 (5)
- April 2014 (3)
- March 2014 (3)
- February 2014 (2)
- January 2014 (2)
- December 2013 (1)
- November 2013 (2)
- October 2013 (5)
- September 2013 (3)
- August 2013 (2)
- July 2013 (3)
- June 2013 (7)
- May 2013 (9)
- April 2013 (5)
- March 2013 (3)
- February 2013 (2)
- January 2013 (6)
- December 2012 (6)
- November 2012 (4)
- October 2012 (11)
Meta
Tag Archives: Shimura Curves
Polymath Proposal: 4-folds of Mumford’s type
Let \(A/K\) be an abelian variety of dimension \(g\) over a number field. If \(g \not\equiv 0 \bmod 4\) and \(\mathrm{End}(A/\mathbf{C}) = \mathbf{Z}\), then Serre proved that the Galois representations associated to \(A\) have open image in \(\mathrm{GSp}_{2g}(\mathbf{Z}_p)\). The result … Continue reading
Virtual coherent cohomology
I gave a talk yesterday where I attempted to draw parallels between the cohomology of (arithmetic) 3-manifolds and weight one modular forms. It was natural then to think about whether there was an analogue of the virtual Betti number conjecture. … Continue reading
Posted in Mathematics
Tagged David Mumford, Ian Agol, Melbourne, Shimura Curves, Spin Structures, Virtual Positive Betti Number
Leave a comment