What question did this study set out to answer?

The aim is to establish a foundational framework for a discrete geometric Langlands program built on an axiomatic base.

April 27, 2026Open Access

A Discrete Geometric Langlands Program: A Neutral, Axiomatic Framework from Six Functors

View Full Paper

Ask AI

Bookmark

The aim is to establish a foundational framework for a discrete geometric Langlands program built on an axiomatic base.
Develop a discrete six-functor environment on finite geometric models.
Construct automorphic and spectral categories within this environment.
Investigate Langlands-type functoriality using a combinatorial, category-theoretic approach.
Achieved complete finite-level Langlands transforms via explicit Fourier kernels and Pontryagin duality.
Isolated the non-abelian rank-one problem for SL_2 as a key challenge.
Organized the program into branches focusing on characteristic-zero and characteristic-p applications.

No takes yet. Share an insight, caveat, or question.

Foundational framework proposes a discrete geometric Langlands program, providing a neutral, axiomatic approach to Langlands theory.

Jianming Wang (2026) studied this question.

View Full Paper

Ask AI

Bookmark