Tag Archives: Abelian Surfaces

The paramodular conjecture is false for trivial reasons

Posted on January 15, 2018 by Persiflage

(This is part of a series of occasional posts discussing results and observations in my joint paper with Boxer, Gee, and Pilloni mentioned here.) Brumer and Kramer made a conjecture positing a bijection between isogeny classes of abelian surfaces \(A/\mathbf{Q}\) … Continue reading →

Posted in Mathematics | Tagged Abelian Surfaces, Armand Brumer, Ciaran Schembri, Cris Poor, David Yuen, George Boxer, Grothendieck, Haluk Sengun, John Cremona, Kenneth Kramer, paramodular conjecture, Toby Gee, Vincent Pilloni | 7 Comments

Abelian Surfaces are Potentially Modular

Posted on November 11, 2017 by Persiflage

Today I wanted (in the spirit of this post) to report on some new work in progress with George Boxer, Toby Gee, and Vincent Pilloni. Edit: The paper is now available here. Recal that, for a smooth projective variety X … Continue reading →

Posted in Mathematics | Tagged Abelian Surfaces, Ana Caraiani, Andrew Wiles, Ariel Pacetti, Armand Brumer, Benoit Stroh, Betti cohomology, coherent cohomology, Cris Poor, David Geraghty, David Yuen, etale cohomology, George Boxer, Gonzalo Tornaría, Hasse-Weil Conjecture, Higher Hida Theory, IAS, Jacques Tilouine, John Voight, Kevin Buzzard, Kris Klosin, Langlands, Maass Forms, Payman Kassaei, Peter Scholze, RLT, Shekar Khare, Shepherd-Barron, Shu Susaki, Tetrachotomy, Tobias Berger, Toby Gee, Vincent Pilloni, Wintenberger, Yichao Tian | 12 Comments

Tag Archives: Abelian Surfaces

The paramodular conjecture is false for trivial reasons

Abelian Surfaces are Potentially Modular

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Tag Archives: Abelian Surfaces

The paramodular conjecture is false for trivial reasons

Abelian Surfaces are Potentially Modular

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