Tag Archives: Matthew Emerton

Artin No-Go 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 , , , , , , , | Leave a comment

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 S-arithmetic groups. The punch line, perhaps not surprisingly, was that I had made an … Continue reading

Posted in Mathematics | Tagged , , , , , , , , , , , , | Leave a comment

Tensor Products

Let be an irreducible representation of a finite group Say that is tensor indecomposable if any isomorphism implies that either or is a character. In conversations with Matt and Toby (which permeate the rest of this post as well), the … Continue reading

Posted in Mathematics | Tagged , , , , , , | 6 Comments

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

Posted in Politics | Tagged , , | 13 Comments

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

Posted in Book Review | Tagged , , , , , , , , , , , , , , , , | 7 Comments

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

Posted in Mathematics | Tagged , , , , , , , , , | 2 Comments

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 , , , , , , , , , , , , , , , , , , | Leave a comment