The Langlands program for beginners - Mathematics Stack Exchange
@ABC, Langlands isn't really a grand unified theory of mathematics - that's just something Edward Frenkel said to convey the importance of the work to convey the importance of the …
number theory - Undergraduate roadmap for Langlands program …
Feb 16, 2013 · What are the topics which an undergraduate with knowledge of algebra, galois theory and analysis learn to understand Langlands program and its goemetric counterpart? I …
Simplifying a proof of Langlands-Tunnnell Theorem
Aug 27, 2021 · The proof of Langlands-Tunnnell Theorem need lie group, L group, trace formula and so on. I think that these ingredients and -dral cases used in this proof is slightly redundant. …
Is the unramified local Langlands conjecture true?
Jan 1, 2024 · We know in fact much more, and have done since 1987: We know Local Langlands not just for unramified principal series but for the entire principal block (representations with …
Explaining the difference between the number theoretic Langlands ...
The basic idea behind the Langlands program, very roughly and imprecisely, is to associate n n -dimensional Galois representations (algebraic objects) to "automorphic representations" of GL …
Newest 'langlands-program' Questions - Mathematics Stack …
Dec 14, 2017 · In mathematics, the Langlands program is a web of far-reaching and influential conjectures about connections between number theory and geometry. Proposed by Robert …
Under Langlands duality, which semisimple Lie groups are self-dual?
Feb 28, 2020 · The group GL(n) G L (n) is self-dual, too. Passing to the level of Lie algebras, the Langlands duality changes the types of simple factors of the Lie algebra by taking the …
Consequences of the Langlands program - Mathematics Stack …
Jun 26, 2012 · There are many applications of the Langlands program to number theory; this is why so many top-level researchers in number theory are focusing their attention on it. One …
Concrete example of non-abelian class field theory - why …
Oct 3, 2020 · Also, Langlands over GL2 G L 2 is about theory of modular forms (and of course Maass forms), Elliptic curves, 2-dimensional Galois representations, etc. However, I could not …
algebraic number theory - Applications of Langlands for GLn …
Apr 1, 2024 · Applications of Langlands for GLn Explicit reciprocity laws other than elliptic curves Ask Question Asked 1 year, 9 months ago Modified 1 year, 9 months ago