Mathematical Sciences: Representation Theory

该奖项支持 H. Jacquet 教授在自守函数方面的研究。 Jacquet 教授打算使用相对迹公式研究与 Gelfand 三元组相关的某些周期积分。 模形式产生于十九世纪中叶的非欧几里得几何学。 数学家和物理学家很早就认识到，许多具有根本重要性的物体的基本性质都是非欧几里得的。 该领域主要关注有关整数的问题，但在几何和分析的使用中，它保留了与其历史根源的联系，从而与理论物理学中的规范理论和信息论中的编码理论等不同领域的问题保持联系。

This award supports the research of Professor H. Jacquet to work in automorphic functions. Professor Jacquet intends to study certain period integrals related to Gelfand triples using the relative trace formula. Modular forms arose out of Non-Euclidean geometry in the middle of the nineteenth century. Both mathematicians and physicists have thus long realized that many objects of fundamental importance are non-Euclidean in their basic nature. This field is principally concerned with questions about the whole numbers, but in its use of geometry and analysis, it retains connection to its historical roots and thus to problems in areas as diverse as gauge theory in theoretical physics and coding theory in information theory.