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Questions about modular forms and related areas

3 votes
Accepted

Proving the Eichler-Shimura Isomorphism defines a global section

What exactly is a global section of $\Omega^1 \otimes V^{k-2}$ on $Y_\Gamma$? First consider $\Omega^1 \otimes V^{k-2}$ as a sheaf on $\mathbb{H}$. This sheaf is naturally endowed with a $\Gamma$ ac …
jkramerm's user avatar
  • 530
1 vote

Group cohomology with compact support

This response is a little late, but I have thought about the same question recently. I don't think there is a way to define cohomology with compact support in a purely group theoretic way. The proble …
jkramerm's user avatar
  • 530
5 votes
2 answers
369 views

Examples of component crossing between families of modular forms

Is there a reference that contains explicit examples of component crossing of Hida families at height one primes? The paper of Emerton, Pollack, and Weston addresses component crossing obtained throu …
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  • 530