IHP Workshop on "Higher Structures in Geometry and Physics"

该提案是为了部分支持将于2007年1月15日至1月19日在法国巴黎的亨利·庞加莱研究所举行的为期五天的“几何和物理的高级结构”研讨会。工作坊由PI与来自瑞士苏黎世大学的Alberto Cattaneo共同组织。它是IHP“物理和几何中的群和堆栈”三学期计划的一部分，该计划为学生和年轻研究人员提供了许多研究生课程。高等结构，特别是同伦代数，已经出现在许多数学分支中，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。研讨会旨在促进数学家、物理学家和从事相关领域不同方面工作的团体之间的互动。它汇集了这些学科的主要专家和年轻研究人员来解决重要问题。世界上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，尤其是年轻人，与他们的国际同事交流他们的想法，开阔他们的视野。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.