The Fourth Arolla Conference on Algebraic Topology

该提案将为来自美国机构的参与者参加第四届阿罗拉代数拓扑会议提供支持。会议将于2012年8月20日至26日在瑞士阿罗拉村举行。Arolla会议的目标是汇集来自同伦理论和k理论各个领域的专家，学习这些学科中当前的突破性工作。以下人士已同意在即将召开的会议上发表全体演讲：Arthur Bartels（明斯特）、Mark Behrens（麻省理工学院）、Gunnar Carlsson（斯坦福大学）、Michael Ching（阿默斯特）、Daniel Dugger（俄勒冈州）、Teena Gerhardt（密歇根州）、Ian Leary（俄亥俄州）、Ib Madsen（哥本哈根）、Niko Naumann（雷根斯堡）、Angelica Orsono（芝加哥）、Kari Ragnarsson（德保罗）、Goncalo Tabuada（麻省理工学院）和Antoine Touze（巴黎十三院）。这些全体会议发言人对代数拓扑的许多子领域做出了重大贡献，包括k理论、l理论、等变稳定同伦理论、同伦理论与代数几何、应用与计算代数拓扑、群表示与上同调、同伦代数、Goodwillie微积分与操作、高范畴论。将有10-12个专题讲座，从注册参与者提交的摘要中选择，以涵盖广泛的主题。有关会议的更多详细信息，请访问会议网站http://sma.epfl.ch/~hessbell/arolla/arolla?2012.html.Algebraic拓扑是一个数学领域，它使用代数工具研究在连续变形下保留的形状的性质。它在19世纪末/ 20世纪初发展成为数学中的一个独特学科，并在20世纪和21世纪的数学中发挥了重要作用。Arolla会议是为数不多的持续建立的会议之一，涵盖了代数拓扑中广泛的主题。会议汇集了来自世界各地的研究人员，他们在代数拓扑的许多专业领域工作，以交流思想并了解该领域的新发展。这些会议特别鼓励年轻研究人员的参与。来自该提案的资金将用于支持2012年会议的美国演讲者，从而使会议参与者能够了解美国正在发生的工作。它还将支持年轻研究人员和那些来自传统上在美国数学领域代表性不足的群体的研究人员的参与，为他们提供更多了解该领域正在发生的事情的机会，与他人分享他们的工作，探索新的研究思路。并在欧洲发展专业网络。

This proposal will provide support for participants from institutions in the U.S. to attend the Fourth Arolla Conference on Algebraic Topology. The conference will be held August 20th - 26th, 2012 in the village of Arolla, Switzerland. The goal of the Arolla conferences is to bring together experts from a wide variety of fields within homotopy theory and K-theory to learn of current ground-breaking work throughout these disciplines. The following individuals have agreed to give plenary lectures at the upcoming conference: Arthur Bartels (Munster), Mark Behrens (MIT), Gunnar Carlsson (Stanford), Michael Ching (Amherst), Daniel Dugger (Oregon), Teena Gerhardt (Michigan State), Ian Leary (Ohio State), Ib Madsen (Copenhagen), Niko Naumann (Regensburg), Angelica Orsono (Chicago), Kari Ragnarsson (DePaul), Goncalo Tabuada (MIT), and Antoine Touze (Paris XIII). These plenary speakers have made significant contributions to many subfields of algebraic topology, including K-theory, L-theory, equivariant stable homotopy theory, homotopy theory and algebraic geometry, applied and computational algebraic topology, group representations and cohomology, homotopical algebra, Goodwillie calculus and operads, and higher category theory. There will be 10-12 contributed lectures, chosen from abstracts submitted by registered participants so as to cover a wide range of topics. For more details about the conference, visit the conference website at http://sma.epfl.ch/~hessbell/arolla/arolla?2012.html.Algebraic topology is a field of mathematics that uses algebraic tools to study properties of shapes that are preserved under continuous deformations. It developed as a distinct discipline within mathematics in the late 19th/early 20th century and has played a major role in 20th and 21st century mathematics. The Arolla conferences are among the few continuing established conferences that cover a broad range of topics within algebraic topology. The conferences bring together researchers from around the world who work in many specialties within algebraic topology to exchange ideas and learn of new developments in the field. The conferences particularly encourage participation from young researchers. Funding from this proposal will support U.S.-based speakers at the 2012 conference, thereby enabling conference participants to learn of work that is taking place in the U.S. It will also support participation by young researchers and those from groups that are traditionally underrepresented in mathematics in the U.S., providing them with opportunities to learn more about what is happening in the field, share their work with others, explore ideas for new research, and develop professional networks in Europe.