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Meta
Tag Archives: Serre
Review of Buzzard-Gee
This is a review of the paper “Slopes of Modular Forms” submitted for publication in a Simons symposium proceedings volume. tl;dr: This paper is a nice survey article on questions concerning the slopes of modular forms. Buzzard has given a … Continue reading
Derived Langlands
Although it has been in the air for some time, it seems as though ideas from derived algebraic geometry have begun to inform developments in the Langlands program. (A necessary qualifier: I am talking about reciprocity in the classical arithmetic … Continue reading
Is Serre’s conjecture still open?
The conjecture in this paper has indeed been proven. But that isn’t the entire story. Serre was fully aware of Katz modular forms of weight one. However, Serre was too timid was prudently conservative and made his conjecture only for … Continue reading
A public service announcement concerning Fontaine-Mazur for GL(1)
There’s a rumour going around that results from transcendence theory are required to prove the Fontaine-Mazur conjecture for \(\mathrm{GL}(1)\). This is not correct. In Serre’s book on \(\ell\)-adic representations, he defines a \(p\)-adic representation \(V\) of a global Galois group … Continue reading
Posted in Mathematics
Tagged Fontaine-Mazur Conjecture, Galois Representations, MO, Serre
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Winning the Chocolate
Once a month, there is an (unrated) round robin blitz tournament at the Evanston chess club. The time controls are set on five minutes (a little slow for me, I usually play one minute games online), but it’s nice to … Continue reading