The Fourth Arolla Conference on Algebraic Topology

这项提案将为参加第四届阿罗拉代数拓扑学会议的美国机构的与会者提供支持。会议将于2012年8月20日至26日在瑞士阿罗拉村举行。阿罗拉会议的目标是将同伦理论和K-理论中来自广泛领域的专家聚集在一起，学习这些学科中当前的开创性工作。下列人士已同意在即将举行的会议上作全会演讲：Arthur Bartels(Munster)、Mark Behrens(MIT)、Gunnar Carlsson(Stanford)、Michael Ching(Amherst)、Daniel Dugger(俄勒冈)、Teena Gerhardt(密歇根州立大学)、Ian Leary(俄亥俄州立大学)、Ib Madsen(哥本哈根)、Niko Naumann(雷根斯堡)、Angelica Orsono(芝加哥)、Kari Ragnarsson(DePaul)、Goncalo Tabuada(MIT)和Antoine Touze(巴黎第十三届)。这些全体演讲者在代数拓扑学的许多子领域做出了重要贡献，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演算与算子，以及更高范畴理论。将有10-12场演讲，从注册参与者提交的摘要中挑选，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拓扑学是一个数学领域，它使用代数工具来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门独特的学科，并在20世纪和21世纪的数学中发挥了重要作用。阿罗拉会议是少数几个持续的、涵盖代数拓扑学中广泛主题的会议之一。这些会议汇集了来自世界各地的研究人员，他们在代数拓扑学的许多专业领域工作，交流思想，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。这项提案的资金将支持2012年大会上的美国演讲者，从而使会议参与者能够了解美国正在进行的工作。它还将支持年轻研究人员和来自美国传统上在数学领域代表性不足的群体的参与，为他们提供机会，让他们更多地了解该领域正在发生的事情，与其他人分享他们的工作，探索新研究的想法，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.