The Work of Ngo Bao Chau

2010/12/02 by Thomas Hales, Thomas C. Hales, Hales, Thomas C.
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT) #Representation Theory (math.RT) #math.AG #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1012.0382

to appear in the Notices of the AMS in a report on the 2010 Fields medalists

arxiv created 2010/12/02 · openalex publication_date 2010/12/02 · arxiv updated 2010/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In August 2010, Ngo Bao Chau was awarded a Fields Medal for his deep work relating the Hitchin fibration to the Arthur-Selberg trace formula, and in particular for his proof of the Fundamental Lemma for Lie algebras. This article gives a brief introduction to his work for a general mathematical audience.

Citations

• Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
• The Geometric Nature of the Fundamental Lemma

Related

• The fundamental lemma and the Hitchin fibration [after Ngo Bao Chau]
• Un théorème du support pour la fibration de Hitchin
• Algebraic and geometric methods in representation theory
• Hitchin systems and their quantization
• The Geometric Nature of the Fundamental Lemma