Work

A new proof of finiteness of maximal arithmetic reflection groups

Year: 2023

Type: article

Abstract: We give a new proof of the finiteness of maximal arithmetic reflection groups. Our proof is novel in that it makes no use of trace formulas or other tools from the theory of automorphic forms and instead relies on the arithmetic Margulis lemma of Fraczyk, Hurtado and Raimbault.

Source: Annales Henri Lebesgue

DOI: 10.5802/ahl.162

Authors: David Fisher, Sebastian Hurtado

Institutions: Rice University, Yale University

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Adolph C. and Mary Sprague Miller Institute for Basic Research in Science, University of California Berkeley

Award: Group Actions and Rigidity