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Results tagged with rt.representation-theory
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user 521742
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
14
votes
Simple instance illustrating significance of Langlands dual group without getting into the L...
As Atiyah firstly observed, a notion that is similar to the Langlands dual appeared in Goddard–Nuyts–Olive’s study of the electric-magnetic duality.
For a simple non-abelian gauge group $G$, they cons …
- 607
3
votes
Accepted
Is there a comprehensive survey of the discrete series representation of a real reductive gr...
In Harish-Chandra’s classification of the discrete series representations for $G(\mathbf R)$, there are some unusual aspects of the formulas for their characters. Langlands confronted this in the work …
- 607
5
votes
Accepted
Roadmap to Carayol-Deligne-Langlands
An elementary introduction is available in Litt - Local–global compatibility and applications to the arithmetic of modular curves.
Historically, the first proof dealing with the simplest case came out …
- 607
13
votes
3
answers
1k
views
$\ell$- vs. $p$-adic and de Rham vs. Betti in the geometric Langlands correspondence
In Emerton–Gee–Hellmann’s IHÉS notes on the categorical $p$-adic local Langlands programme, one finds the following remark:
The differences between the $\ell$-adic and $p$-adic settings are reminisce …
- 607