Workshop on spectral problems; July 2010

摘要奖：DMS-1005360主要研究者：Carolyn S.放大图片作者：亚历山大巴内特，Peter A.为期一周的光谱几何国际会议将于2010年7月19日至23日在达特茅斯学院举行。 会议的主要主题将是量子唯一遍历性，它解决了遍历哈密顿系统量子化中高度激发态的行为，以及逆谱几何，它要求与拉普拉斯算子或其他自然算子相关的谱数据编码黎曼流形几何的程度。 除了黎曼流形上的谱问题之外，还将关注量子图的相关主题，其中一维拉普拉斯算子沿着边起作用，波在顶点散射。量子唯一遍历性和逆谱几何是数学、桥接几何、分析和数论中激烈研究活动的领域，两者都与物理学有很强的联系。 通过汇集具有各种观点和专业知识的专家和年轻研究人员，会议将促进新的合作和互动，并为这些领域的研究进步做出贡献。 会议之前将举行为期两天的密集研讨会，针对研究生和最近的博士生。的，为会议主题做准备。

AbstractAward: DMS-1005360Principal Investigator: Carolyn S. Gordon, Alexander Barnett, Peter A. PerryA week-long International Conference on Spectral Geometry will be held at Dartmouth College July 19--23, 2010. The primary themes of the conference will be Quantum Unique Ergodicity, which addresses the behavior of the highly excited states in the quantization of ergodic Hamiltonian systems, and Inverse Spectral Geometry, which asks the extent to which spectral data associated with the Laplacian or other natural operators encode the geometry of a Riemannian manifold. In addition to spectral problems on Riemannian manifolds, there will be a secondary focus on the related topic of quantum graphs, in which the one-dimensional Laplacian acts along edges, and waves scatter at vertices.Both quantum unique ergodicity and inverse spectral geometry are areas of intense research activity in mathematics, bridging geometry, analysis and number theory, and both have strong ties to physics. By bringing together experts and young researchers with various perspectives and expertise, the conference will promote new collaborations and interactions and contribute to the advancement of research in these areas. The conference will be preceded by a two-day intensive workshop, aimed at graduate students and recent Ph.D.'s, to prepare for the conference themes.