Year: 2025
Type: preprint
Abstract: This paper explores relations between two separate worlds. They are the algebraic geometry of Alexander Grothendieck and the automorphic representation theory of Robert Langlands. The relation between them would be a very broad example of the fundamental duality between geometric objects and spectral objects that permeates much of modern mathematics. Our goal is to introduce explicit conjectural constructions of the universal groups that govern much of these theories, and to explore the relations between them.
Source: arXiv (Cornell University)
Author: Arthur, James
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4414739416
Cites:
Cited by:
Related to: