IHP Workshop on "Higher Structures in Geometry and Physics"

该建议是部分支持将于2007年1月15日至1月19日在法国巴黎亨利·庞加莱研究所举行的为期五天的“几何和物理学高等结构”讲习班。研讨会由PI与瑞士苏黎世大学的Alberto Cattaneo共同组织。它是国际水文计划关于“物理学和几何学中的群胚和堆栈”的三个月计划的一部分，该计划为学生和年轻研究人员提供许多研究生课程。更高的结构，特别是同伦代数，已经出现在数学的许多分支，特别是在数学物理中，从变形量子化，镜像对称，泊松几何和可积系统。该研讨会旨在促进数学家，物理学家和来自不同方面的相关领域工作组之间的互动。世界各地有许多聪明的年轻人在这些领域工作，这次研讨会将是一个很好的机会，让美国的研究人员，特别是年轻人，与他们的国际同行交流他们的想法，拓宽他们的视野。PI预计将邀请许多博士后和研究生水平的数学家（主要来自美国和欧洲）参加研讨会。

The proposal is to partially support a five-day workshop on ``Higher Structures in Geometry and Physics'', to be held at the Institut Henri Poincare, Paris, France, from Jan 15 to Jan 19, 2007. The workshop is organized by PI with Alberto Cattaneo from Zurich University, Switzerland. It is part of the IHP trimester program on ``Groupoids and stacks in Physics and Geometry", where many graduate courses are offered to students and young researchers. Higher structures, in particular homotopy algebras, have appeared in many branches of mathematics and particularly in mathematical physics ranging from deformation quantization, mirror symmetry, Poisson geometry and integrable systems. The workshop aims to promote interaction between mathematicians, physicists and groups working on related areas from different aspects. It brings together leading experts and young researchers in these subjects to address the important questions.There are many bright young people working in these subjects around the world and this workshop will be a great opportunity to bring US researchers especially young people to exchange their ideas with their international colleagues and to broaden their perspective. PI anticipates inviting many mathematicians at the postdoctoral and graduate student level (mainly from the United States, and Europe) to the workshop.