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Results tagged with langlands-conjectures
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user 2284
Higher reciprocity laws
12
votes
To what extent are modular parametrizations expected to generalize?
A natural generalization of the geometric modularity conjecture which is compatible with your formulation
Do you expect some form of modularity to correspond to the existence of a map from some sp …
- 10.9k
9
votes
What is the "reason" for modularity results?
I don't think it is too much an overstatement to say that nobody has any idea why the most general conceivable form of the modularity conjectures-say a combination of Langlands program and the Fontain …
6
votes
Accepted
How does the Bernstein-Zelevinsky construction of irreducibles from supercuspidals parallel ...
Let $\rho$ be a representation of the Weil-Deligne group which is semi-simple on $W_F$ and algebraic on $\mathbb C$. Then $\rho$ is a direct sum of indecomposable such representations (uniquely up to …
- 10.9k
5
votes
Langlands in dimension 2: the Yoshida conjecture
And so it turns out that I was in the audience of a seminar talk just today on this very subject. The opinion I expressed in comments is apparently not too far from the truth: V.Pilloni and B.Stroh no …
- 10.9k
2
votes
The historical development of automorphic geometry
A common answer to question 1 is to mention the entries of Gauss's diary from 1814, including famously (but not restricted to) the last one, in which he studies some properties of biquadratic reciproc …
- 10.9k