Workshop on Spectral Invariants on Non-Compact and Singular Spaces

今年夏天，2012年7月23日至27日，在加拿大蒙特利尔的数学研究中心（CRM）将举行一个名为“非紧和奇异空间上的谱不变量”的研讨会。谱不变量的重要例子有：椭圆算子的指标、拉普拉斯流形的行列式、自伴随椭圆算子的不变量（或谱不对称性）和解析扭转。对于非紧化或奇异流形，谱不变量的定义要微妙得多。研讨会将重点介绍奇异背景下光谱几何的最新发展和新的研究方向（例如，尖端和边缘存在下的光谱不变量，渐近正则非紧几何的散射理论，模空间和几何结构的应用等）。该奖项提供资金用于支付本次会议美国与会者的费用。预期的参与者代表了高级和初级研究人员的平衡混合，包括一些最著名的光谱不变量专家。这是一个非常活跃的领域，有许多最新的发展，本次研讨会将提供一个重要的论坛，宣传最先进的技术和一个绝佳的合作机会。会议的网页可在http://www.crm.umontreal.ca/act/theme/theme_2012_2_en/invariants12_e.php找到

This summer, during July 23-27, 2012, there will be a workshopentitled ``Spectral invariants on non-compact and singular spaces"held at the Centre de Recherches Mathematiques (CRM) in Montreal,Canada. Important examples of spectral invariants are given by theindex of an elliptic operator, the determinant of the Laplacian on aRiemannian manifold, the eta invariant (or spectral asymmetry) of aself-adjoint elliptic operator, and the analytic torsion. Onnon-compact or singular manifolds, the very definition of spectralinvariants is much more delicate. The workshop will highlight recentdevelopments and new research directions in spectral geometry insingular contexts (e.g., spectral invariants in the presence of cuspsand edges, scattering theory for asymptotically regular non-compactgeometries, applications to moduli spaces and geometric structures,etc.).This award provides funding to defray the expenses of U.S.participants at this conference. The expected participants represent abalanced mixture of senior and junior researchers and include some ofthe most renowned experts on spectral invariants. This is a veryactive field with many recent developments, and this workshop willprovide an important forum to advertise the state-of-the-art and anexcellent opportunity for collaboration. The webpage for theconference can be found at:http://www.crm.umontreal.ca/act/theme/theme_2012_2_en/invariants12_e.php