Pan-American Advanced Studies Institute (PASI) on Stringy Topology; Morelia, Mexico; January 2006

这项由美国国家科学基金会和能源部共同支持的泛美高级研究所奖将于2006年1月在位于墨西哥莫雷利亚的墨西哥国立自治大学莫雷利亚大学数学研究所举行。由加州伯克利数学科学研究所（MSIR）的Hugo Rossi博士和威斯康星州大学的Alejandro Adem博士共同组织，该研究所将专注于量子场论与过去几十年发展起来的数学之间的相互作用。数学的新概念将通过密集的会议和研讨会进行探索和发展。三个主题将强调：弦拓扑，包括膜和orbifolds;广义麦凯对应和表示理论;和Gromov-Witten理论。该研讨会将激发西半球数学家和物理学家之间的合作努力，并将涵盖从研究生到博士后到初级教师到高级教师的所有年龄组。我们的目标是提供结构化的机会和非结构化的时间，在不同年龄，智力方向和地理背景的人之间建立牢固和持续的联系。将提供迷你课程，使那些有一些数学或物理背景的人加快更专业的主题，这将是研究会谈的重点。长期的沟通和合作应该是最终的结果。将透过一个网站进行传播，该网站将提供线上登记、旅行及住宿资讯、一份研讨会前阅读资料清单、研讨会讲稿及其他资料。此外，PASI还将受益于MSRI出色的档案能力，包括通常向公众提供的印刷品和视频。

This Pan-American Advanced Studies Institutes (PASI) award, jointly supported by the NSF and Department of Energy (DOE), will take place at the Instituto de Matematicas, Unidad Morelia of the Universidad Nacional Autonoma de Mexico, located in Morelia, Mexico, in January, 2006. Organized by Dr. Hugo Rossi of the Mathematical Sciences Research Institute (MSIR) in Berkeley, California, together with Dr. Alejandro Adem of the University of Wisconsin, the institute will focus on the interplay between quantum field theory and mathematics that has developed in the past few decades. New concepts of mathematics will be explored and developed through intensive conferences and workshops. Three themes will be emphasized: stringy topology, including branes and orbifolds; generalized McKay correspondences and representation theory; and Gromov-Witten theory. Connections with non-commutative geometry and quantum cohomology will be explored.The workshop will activate collaborative efforts among mathematicians and physicists of the western hemisphere, and will span all age groups from graduate students to post-docs to junior faculty to senior faculty. The goal is to provide both structured opportunities and unstructured time to develop strong and continuing bonds among those of diverse ages, intellectual orientations, and geographical backgrounds. Mini-courses will be offered to bring those with some of the mathematical or physics background up to speed in the more specialized topics that will be the focus of the research talks. Long-term communication and collaborations should be the end result. Dissemination will occur through a web-site that will offer online registration, travel and lodging information, a list of pre-workshop readings, workshop lecture notes, and other materials. In addition, the PASI will benefit from MSRI's excellent archival capabilities, in print and video, which are customarily available to the public.