Automorphic Forms Workshop

自守形式和相关主题的年度研讨会已经建立了国际公认和受人尊敬的会议的声誉，由数学这一广泛领域的领先专家参加。传统上，这个研讨会为来自地理位置不同地区的许多类型的学术机构的学生，初级教师和高级教师提供健康的平衡，并鼓励他们提供研究报告。 自守形式是当代数论中的一个中心课题，与数学和数学科学的许多领域有着深刻的联系，包括表示论、组合学和数学物理学。自守形式是一个重要的研究领域，它与数学和数学科学的许多领域都有着密切的联系。 2011年，自守形式研讨会的主题是调和弱马斯形式理论。 作为一个例子的主题的重要性，在最后的作品拉马努金，特别是他的最后一封信给哈代和他失去的笔记本，主题的模拟θ函数介绍。 几十年来，数学家们无法将模拟theta函数理解为更大背景的一部分。 然而，在Zwegers最近的工作中，模拟θ函数被确定为调和弱Maass形式的全纯部分，从而产生了一个新的洪流研究Maass形式，模拟模形式和自守形式一般。

The annual Workshop on Automorphic Forms and Related Topics has built a reputation as an internationally recognized and respected conference that is attended by leading experts in this broad area of mathematics. Traditionally, this workshop serves a healthy balance of students, junior faculty, and senior faculty from many types of academic institutions in geographically diverse areas and encourages them to deliver research presentations. This workshop strengthens the automorphic forms research community by providing mentoring and professional development for junior researchers in this active field.Automorphic forms is a central subject in contemporary number theory with deep connections to many areas across mathematics and the mathematical sciences including representation theory, combinatorics, and mathematical physics. In 2011, the theme of the Automorphic Forms Workshop is the theory of harmonic weak Maass forms. As an example of the subject's importance, in the last works of Ramanujan, in particular his last letter to Hardy and his lost notebook, the subject of mock theta functions was introduced. For many decades, mathematicians were unable to understand mock theta functions as part of a larger context. However in recent work of Zwegers, mock theta functions are identified as occurring as the holomorphic parts of harmonic weak Maass forms, thus generating a fresh torrent of research in Maass forms, mock modular forms, and automorphic forms in general.