What question did this study set out to answer?

This research aims to establish the proof of the geometric Langlands correspondence, connecting various domains of mathematics and physics.

July 27, 2026Open Access

Geometric Langlands Correspondence Proven: Unifying Number Theory, Geometry, and QFT — E8 Intelligence Research

View Full Paper

Ask AI

Bookmark

Authors

ACAndrew Stewart Caldin

Discussion

Member takes

Implication

Proven geometric langlands correspondence links number theory, geometry, and quantum field theory through dualities, suggesting profound implications.

Key Points

This research aims to establish the proof of the geometric Langlands correspondence, connecting various domains of mathematics and physics.
Proven categorical equivalence between D-mod(Bun_G) and QCoh(LocSys_^LG)
Explored derived equivalence involving Hecke eigensheaves and automorphic forms
Analyzed connections with root systems and crystallographic Coxeter groups.
Established a formal proof of the geometric Langlands correspondence
Highlighted the role of dual groups exchanging long and short roots
Illustrated symmetry properties similar to the Fourier-Mukai transform.

Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a6700c740bca442e0d4aeb3 https://doi.org/10.5281/zenodo.21545349

View Full Paper

Ask AI

Bookmark

Implication

Proven geometric langlands correspondence links number theory, geometry, and quantum field theory through dualities, suggesting profound implications.

Geometric Langlands Correspondence Proven: Unifying Number Theory, Geometry, and QFT — E8 Intelligence Research

Discussion

Member takes

Implication

Key Points

Cite This Study

Geometric Langlands Correspondence Proven: Unifying Number Theory, Geometry, and QFT — E8 Intelligence Research

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider