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

这一泛美高级研究所(PASI)奖由美国国家科学基金会和能源部(DOE)共同支持，将于2006年1月在墨西哥莫雷利亚国立自治大学的莫雷利亚数学研究所举行。该研究所由加州伯克利数学科学研究所(MSIR)的Hugo Rossi博士和威斯康星大学的Alejandro Adem博士共同组织，将专注于量子场论和过去几十年发展起来的数学之间的相互作用。将通过密集的会议和讲习班来探索和发展新的数学概念。本课程将着重讨论三个主题：弦拓扑学，包括膜和奥氏环；广义McKay对应和表示理论；以及Gromov-Witten理论。工作坊将探讨与非对易几何和量子上同调的联系。工作坊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、初级教员到高级教员的所有年龄组。目标是提供有组织的机会和非有组织的时间，在不同年龄、智力取向和地理背景的人之间发展牢固和持续的联系。将提供迷你课程，让那些具有一些数学或物理背景的人了解更专门的主题，这些主题将是研究演讲的重点。长期的沟通和合作应该是最终的结果。将通过一个网站进行传播，该网站将提供在线注册、旅行和住宿信息、研讨会前阅读材料清单、研讨会讲座笔记和其他材料。此外，PASI将受益于MSRI在印刷和视频方面的出色档案能力，这些能力通常向公众开放。

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.