In mathematics, the Langlands program is a set of conjectures about connections between number theory and geometry. It was proposed by Robert Langlands (1967, 1970). It seeks to …

In mathematics, the local Langlands conjectures, introduced by Robert Langlands (1967, 1970), are part of the Langlands program. They describe a correspondence between the complex …

In mathematics, the geometric Langlands correspondence relates algebraic geometry and representation theory. It is a reformulation of the Langlands correspondence obtained by …

2024年7月19日 · A group of nine mathematicians has proved the geometric Langlands conjecture, a key component of one of the most sweeping paradigms in modern mathematics. …

2024年3月28日 · What is called the Langlands correspondence in number theory (Langlands 67) is first of all a conjectural correspondence (a bijection subject to various conditions) between n …

2024年9月15日 · Abstract: This is the final paper in the series of five, in which we prove the geometric Langlands conjecture (GLC). We conclude the proof of GLC by showing that there …

2024年7月25日 · 30 岁的普林斯顿大学教授 罗伯特・朗兰兹 （Robert Langlands）给 “数学的罗塞塔石碑” 创始人安德烈・韦尔 (André Weil) 寄去了一封长达 17 页的手写信，信中向阐述了他 …

2024年7月24日 · 一个由 9 位数学家组成的团队成功证明了几何朗兰兹猜想（Geometric Langlands Conjecture），这是现代数学领域涉及范围最广的范式之一。 马克斯・普朗克数学研究所的著 …

Proof of global geometric Langlands conjecture This is a joint project of proving the de Rham version of the categorical, unramified, global geometric Langlands conjecture. webpage …

2025年2月28日 · The local Langlands conjecture predicts that irreducible representations of a p-adic reductive group can be classified in terms of certain arithmetic data involving local Galois …