Conference on Mathematical Physics and Geometric Analysis

该奖项将支持美国参加2008年1月在加拿大多伦多菲尔兹研究所举行的为期四天的数学物理和几何分析会议。虽然最近的许多会议都集中在几何分析的单一方面，如辛拓扑，微局部分析，或泊松几何，迄今为止没有一个汇集了代表子域的研究人员。 这次会议将聚集各种各样的数学家谁不经常互动。 讲座将涵盖广泛的辛几何，表示理论，微观局部分析，以及这些与物理的相互作用的最新进展。 着眼于未来，一个主要目标是通过正式和非正式讨论确定重大的未决问题和挑战。 会议的全面性使一个理想的机会，通常不会在一个专门的研讨会，为研究生和初级研究人员获得几何分析的广度及其与物理学的关系的角度。 此外，参加本次会议的高级研究人员范围广泛，为初级研究人员提供了一个巨大的资源，可以为他们的工作寻求建议，并促进新的合作，因为他们从研究生院过渡到博士后职位，再到终身职位。近年来，数学和物理学之间的界面取得了广泛的进展。 该奖项将允许美国数学家参加2008年1月在加拿大多伦多的菲尔兹研究所举行的为期四天的会议，届时将介绍和讨论这些新的发展。 这类会议往往是形成新的合作和开展新的研究倡议的论坛。 因此，这次会议的主要影响是在受到物理学强烈影响的各种数学领域的发现和理解的进步。

This award will support U.S. participants at a four-day conference on Mathematical Physics and Geometric Analysis in January, 2008, at the Fields Institute in Toronto, Canada. While many recent conferences have focused single aspects of geometric analysis, such as symplectic topology, microlocal analysis, or Poisson geometry, none has hitherto brought together researchers representing the gamut of subfields. This conference will gather a wide variety of mathematicians who do not frequently interact. The lectures will cover a broad range of recent advances in the symplectic geometry, representation theory, microlocal analysis, and the interactions of these with physics. With an eye towards the future, a key aim is to identify the significant open problems and conjectures through formal and informal discussions. The comprehensive nature of the conference makes an ideal opportunity, not usually available at a specialized workshop, for graduate students and junior researchers to gain a perspective of the breadth of geometric analysis and its relationships with physics. Moreover, the great range of senior researchers at this conference represent a tremendous resource for junior researchers to seek advice on their work and to foster new collaborations, as they make the transition from graduate school to postdoctoral positions to tenure-track positions.There has been extensive progress in recent years at the interface between mathematics and physics. This award will allow U.S. mathematicians to participate in a four-day conference in January, 2008, at the Fields Institute in Toronto, Canada, where these new developments will be presented and discussed. Meetings of this kind are often the forum where new collaborations are formed and new research initiatives undertaken. Hence the principal impact of this conference is the advancement of discovery and understanding in the wide variety of mathematical fields that are strongly influenced by physics.