Workshop in Equivariant, Chromatic, and Motivic Homotopy Theory

这是一个补助金的参与者支持在“等变，色，和动机同伦理论研讨会”将于2013年3月25日星期一至29日星期五在西北大学举行。一个显着数量的主要成果同伦理论在过去几年中已经取得了计算，以下和受益于一个时期的建设和实施大型理论，特别是在派生代数几何。会议组织者希望强调这一点，强调最近的计算，并解释我们对基本同伦理论的了解。最大的成功是解决了Kervaire不变量问题，以及随之而来的对等变稳定同伦理论中计算技术的兴趣的复苏。作为补充，色同伦理论有了更多的进展，既有大的谱，如来自拓扑自守形式理论的环谱，也有小的谱，如K（2）-局部球。也有新的应用旧技术，作为使用的古德威利演算研究EHP序列和使用Hochschild同调，使困难的计算在代数K理论。部分原因是冲击所提供的解决方案的Kervaire不变问题，一个伟大的许多年轻的研究人员已经进入该领域的代数拓扑结构，从开始研究生到初级终身教职线教师。这笔赠款将全部用于支持这一组的成员参加会议。对于那些已经建立或正在建立研究项目的人，会议将提供一个论坛来宣传他们的工作;对于更多的初级研究人员，赠款将支持他们出席并努力使他们融入更广泛的社区。www.math.northwestern.edu/~pgoerss/newemphasis/

This is a grant for participant support at the "Workshop on Equivariant, Chromatic, and Motivic Homotopy Theory" to be held at Northwestern University from Monday, March 25 to Friday, March 29, 2013. A remarkable number of the main results in homotopy theory of the past few years have been achieved by calculation, following on and benefiting from a period of building and implementing large theory, especially in derived algebraic geometry. The conference organizers hope to emphasize this point, highlighting the recent calculations and explaining what we have learned about basic homotopy theory. The largest success has been the solution of the Kervaire invariant problem and the attendant resurgence in interest in computational techniques in equivariant stable homotopy theory. Complementing this has been more progress in chromatic homotopy theory, both with large spectra, such as ring spectra coming from the theory of topological automorphic forms, and with small spectra, such as the K(2)-local sphere. There have also been new applications of old techniques, as the use of the Goodwillie calculus to study the EHP sequence and the use of Hochschild homology to make difficult calculations in algebraic K-theory.Partly due to the shock provided by the solution of the Kervaire Invariant Problem, a great many young researchers have entered the field of algebraic topology, ranging from beginning graduate students to junior tenure-line faculty. This grant will be used entirely to support the participation of the members of this cohort in the conference. For those with established or emerging research programs the conference will provide a forum to publicize their work; for more junior researchers, the grant will support their attendance and work to integrate them into the wider community.Further information can be found at the Workshop's websitehttp://www.math.northwestern.edu/~pgoerss/newemphasis/