会议名称(中文)： 三亚国际数学论坛:代数几何，自守形式，与数论计算
会议名称(英文)： Computational Aspects of Algebraic Geometry, Automorphic Forms, and Number Theory
所属学科： 基础数学,应用数学
开始日期： 2015-08-31
结束日期： 2015-09-04
所在国家： 中华人民共和国
所在城市： 海南省 三亚市
主办单位： 三亚国际数学论坛
会议背景介绍：
Some of the most exciting and challenging mathematics is happening at the interface of three areas: Algebraic Geometry, Automorphic Forms and Number Theory. The hub of this is the Langlands Program. This is a vast complex of conjectures that will keep mathematicians busy for decades. Theoretical progress has been made recently, for instance the solution to Serre’s conjecture, the proof of the Fundamental Lemma, and the proof of the Sato-Tate conjecture. These conjectures predict often very concrete information about, for example, solutions to polynomial equations with integer coefficients. In turn, these conjectures suggest interesting avenues of research within related domains, and new territory to explore. In mathematics, often this exploration takes the form of experimentation with examples. In fact the examples are often interesting in their own right. A good instance of this is the theory of Calabi-Yau varieties. These varieties have played an important role in physics, but also the study of their arithmetic has been also fruitful. The zeta-functions of these varieties have even been studied by physicists (see, e.g., [1]) We propose to have a workshop devoted to topics at the interface of these three areas, with an emphasis on computation.
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