nLab categorical geometric Langlands conjecture

Context

Langlands correspondence

Higher category theory

higher category theory

Basic concepts

Basic theorems

Applications

Models

Morphisms

Functors

Universal constructions

Extra properties and structure

1-categorical presentations

Duality

Contents

Idea

The categorical geometric Langlands conjecture is a higher category theoretic version of the geometric Langlands conjecture. It is formulated as an equivalence of stable (infinity,1)-categories of

and

where XX is a smooth complete curve over a field of characteristic zero, and GG is a reductive group and G G^\vee is its Langlands dual.

References

Proof:

Review:

Last revised on April 29, 2025 at 18:08:36. See the history of this page for a list of all contributions to it.