Mathematical Sciences: Automorphic Forms Associated to Symmetric Pairs

Rallis这个奖项支持S.Rallis教授在自同构函数方面的研究。他打算研究迹公式在L函数的特殊值中的应用。他还打算研究例外群中的对偶还原对。模形式起源于19世纪中叶的非欧几里德几何。因此，数学家和物理学家都早已认识到，许多具有根本重要性的物体本质上都是非欧几里得的。这个领域主要涉及关于整数的问题，但在使用几何和分析时，它保留了与其历史根源的联系，从而与理论物理中的规范理论和信息论中的编码理论等不同领域的问题有关。***

Rallis This award supports the research of Professor S. Rallis to work in automorphic functions. He intends to work on applications of the trace formula to special values of L-functions. He also intends to study dual reductive pairs in exceptional groups. 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. ***