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16
votes
Accepted
What is the matter with Hecke operators?
If $K$ is a local field and $\mathcal O$ is its ring of integers, we say an irreducible representation of $G(K)$ is unramified if it contains a vector invariant under $G(\mathcal O)$. It is known that …
4
votes
Accepted
Hecke operators on universal elliptic curves
The universal elliptic curve can be written $y'^2 = 4x'^3- g_2 x - g_3$ where $g_2$ and $g_3$ are Eisenstein series. Given any differential on $E$, simply change coordinates to this family, then divi …