"Weyl Law at 100"

摘要（Zworski，1216660）该奖项提供资金，以帮助支付费用的参与者，特别是妇女，研究生，博士后，和初级教师，在“在100外尔定律”会议，将于2012年9月19日至22日，在数学科学领域研究所在多伦多，加拿大举行。 赫尔曼魏尔在1912年发表了他的论文建立魏尔法律，使领先的渐近描述计数功能的特征值的狄利克雷或诺依曼拉普拉斯算子的有界域的欧几里德空间。 他后来apertured形式的第二项渐近的计数职能。 经过许多数学家的贡献，其中，柯朗，希尔伯特，Agranovitch，列维坦，霍曼德，塞利，Duistermaat，Guillemin，梅尔罗斯和Sjostrand，外尔猜想是解决了Ivrii于1982年。 该研讨会旨在作为Weyl论文发表100周年的前瞻性庆祝活动。 其中要探讨的方向是随机矩阵理论和高能量分布之间的差异本征值，概率外尔定律的非自伴运营商，分布的散射共振和分形外尔定律，和物理实验有关的量子混沌和逆问题（已证实）的连接。 所有的会议主题都是分析的核心，也是非常活跃的研究领域。 会议将汇集广泛的有成就的研究人员，从而提供充分的机会来发展合作互动，会议的形式是这样的，年轻人将有充分的机会发言，并以其他方式参与各种会议活动。

Abstract (Zworski, 1216660)This award provides funding to help defray the expenses of participants, especially women, graduate students, postdocs, and junior faculty, in the "The Weyl Law at 100" conference that will be held from September 19--22, 2012, at the Fields Institute for Research in Mathematical Sciences in Toronto, Canada. In 1912 Hermann Weyl published his paper establishing the Weyl law which gives the leading asymptotic description for the counting function of eigenvalues of the Dirichlet or Neumann Laplacian on a bounded domain in the Euclidean space. He later conjectured the form of the second term in asymptotics of the counting functions. After contributions by many mathematicians, among them, Courant, Hilbert, Agranovitch, Levitan, Hormander, Seeley, Duistermaat, Guillemin, Melrose and Sjostrand, the Weyl conjecture was solved by Ivrii in 1982. The workshop is intended as a forward-looking celebration of the 100th anniversary of Weyl's paper. Among the directions to be explored are the (conjectured) connection between random matrix theory and high energy distribution of differences between eigenvalues, probabilistic Weyl laws for non-self-adjoint operators, distribution of scattering resonances and fractal Weyl laws, and physical experiments related to quantum chaos and inverse problems. All of the conference topics are central to analysis and are extremely active areas of research. The conference will bring together a broad spectrum of accomplished researchers thereby providing ample opportunities to develop collaborative interactions, and the format of the meeting is such that young people will have ample opportunities to speak and be otherwise engaged in the various conference activities.