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Tag Archives: Matthew Emerton
Artin NoGo Lemma
The problem of constructing Galois representations associated to Maass forms with eigenvalue 1/4 is, by now, a fairly notorious problem. The only known strategy, first explained by Carayol, is to first transfer the representation to a unitary group over an … Continue reading
Posted in Mathematics
Tagged Akshay Venkatesh, Artin Conjecture, Carayol, David Geraghty, GriffithsSchmidt Variety, l_0, Matthew Emerton, Notation
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Serre 1: Calegari 0
I just spent a week or so trying to determine whether Serre’s conjecture about the congruence subgroup property was false for a very specific class of Sarithmetic groups. The punch line, perhaps not surprisingly, was that I had made an … Continue reading
Posted in Mathematics
Tagged Contradictions, CSP, Fred Diamond, Fred Diamond's Beard, George Boxer, Ihara's Lemma, John Voight, Keerthi, Mathematica, Matthew Emerton, Ribet, RLT, Serre
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Harassed by Springer
Those of you who have ever submitted a paper to any mathematical journal may have noticed that it’s not a particularly speedy process. Nowadays, even a one year turnaround is nothing out of the ordinary. Thus, I always find it … Continue reading
How not to be wrong
I recently finished listening to Jordan’s book “how not to be wrong,” and thought that I would record some of the notes I made. Unlike other reviews, Persiflage will cut through to the key aspects of the book which perhaps … Continue reading
Horizontal Vanishing Conjectures.
Let be a number field, and let be a reductive group over , and let be a congruence subgroup of . I can hear BC objecting that this doesn’t make sense without extra choices; if you have such an objection, … Continue reading
En Passant IV
My students Richard Moy and Joel Specter have uploaded their paper on partial weight one Hilbert modular forms, previously discussed here, to the ArXiv. Germany now leads the world in both soccer and perfectoid spaces. This is a recipe for … Continue reading
Posted in Waffle
Tagged Bourgeois Pig, Carbon Tax, Cortado, Dinosaur Comics, Existential Comics, Gibraltar, Grue, Hilbert modular forms, Intelligentsia, Joel Specter, Justice, Little Johnny Howard, Matthew Emerton, Perfectoid Spaces, Richard Moy, SiriusXM, Soccer, Toby Gee, Tony Abbott
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