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Results tagged with hecke-algebras
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user 2481
7
votes
How is Taylor-Wiles patching "horizontal Iwasawa theory"?
I think your question already contains its own answer.
In classical, "vertical" Iwasawa theory one studies class groups, or other arithetic widgets like elliptic curve Selmer groups, in a limit over $ …
- 37k
8
votes
Accepted
Restriction to the diagonal of Hilbert eigenforms
It is extremely unusual for the restriction of a Hilbert modular form to the diagonal to be an elliptic modular eigenform. It happens occasionally in some small cases (by coincidence, essentially), bu …
- 37k
5
votes
Accepted
Victor Miller basis for higher $N$ // why is this bilinear form perfect?
You pose your questions for a general $\Gamma$, but I'm not sure that quite makes sense; in general the Hecke algebra won't be commutative and will have a very different structure, and $S_k(\Gamma, \m …
- 37k
12
votes
Accepted
Are there any Hecke operators acting on an elliptic curve with additive reduction that I don...
Just to expand on a comment I made above: I'm not exactly sure what operators generate the Hecke algebra of $\Gamma_0(p^2)$, but the Hecke algebras of the principal congruence subgroups $\Gamma(p^r)$ …
- 37k