5
votes
1answer
307 views

Serious introduction to the Langlands program for nonspecialist

I recently became interested in the Langlands program and hope to learn more. For context, I am an analytic number theorist but have some light background in algebraic number theory and modular ...
11
votes
2answers
420 views

References for particular topics related to Langlands

I have never really concentrated on Langlands, which explains my poor level of understanding of it. But I have read quite a few introductory papers related to Langlands, and to the circle of ideas ...
0
votes
1answer
117 views

Orbital integrals of pseudo coefficients of supercuspidal reps

Let $\pi$ be a supercuspidal representation of $G =GL_2(F)$ for a non-archimedean local field $F$, then there exists a maximal subgroup $K$ of $G$, which is compact modulo the center, and a ...
2
votes
2answers
476 views

Classification of quasi-split unitary groups

Let $U$ be a unitary group defined with respect to an extension $E/F$ of non-archimedean local fields, and assume it is realised with respect to a pair $(V,q)$, where $V$ is an $n$-dimensional vector ...
9
votes
0answers
453 views

Funktorialität in der Theorie der automorphen Formen

In 2010 Langlands wrote an article with the title Funktorialit├Ąt in der Theorie der automorphen Formen: Ihre Entdeckung und ihre Ziele. On the IAS website, he says that This note ... was ...
5
votes
1answer
1k views

Galois representation associated to a modular form is crystalline iff…

I am looking for the reference for the following fact (used, for example, in the proof of theorem 4.4. in Breuil's expose about local-global compatibility at Bourbaki): For $f$ a modular cuspidal ...