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Questions about modular forms and related areas

4 votes
0 answers
1k views

On the references of Eichler-Shimura isomorphism

Good days, everyone. I am now trying to understand the so-called Eichler-Shimura isomorphism. For the references, I am now reading the book "Introduction to the Arithmetic Theory of Automorphic Functi …
Ting-Han Huang's user avatar
5 votes
1 answer
724 views

A question on Deligne-Serre lifting lemma

Good day, everyone. I have been studying the paper "Formes modulaires de poid 1" written by Deligne and Serre. I am confused by lemma 6.11, or the so-called Deligne-Serre lifting lemma in the paper. …
Ting-Han Huang's user avatar
4 votes
1 answer
430 views

About the proof of Weil-Langlands theorem

The statement of the theorem is as follows: Let $\rho$ be an irreducible two-dimensional representation of $G_\mathbb{Q}=Gal(\overline{\mathbb{Q}}/\mathbb{Q})$ with Artin conductor $N$. Suppose that $ …
Ting-Han Huang's user avatar