Mid-Atlantic Topology Symposium: New Directions

约翰霍普金斯大学数学系将于2016年3月12日至13日（周六至周日）在马里兰州巴尔的摩市霍姆伍德校区举办“中大西洋拓扑研讨会：新方向”。这次会议的灵感来自于2015年春季在弗吉尼亚大学举行的类似会议。pi打算建立此类会议的传统。代数拓扑、几何和范畴论正处于语言、技术和范式的代际转变之中，根植于几何学、物理学、范畴论和数据分析中关于高等同伦理论结构的新思想。这些领域正在发酵，由年轻一代的研究人员定义的前沿，他们将新思想从高等代数带到几何，物理和应用数学的经典领域。本次会议旨在帮助澄清这些密切相关领域的变化边界和交叉点。计算机科学、物理学和大数据的最新发展正在深刻地改变我们对几何构成的概念；作为回应，同伦和范畴论的思想为（重新）组织我们对这些问题的理解以及如何接近这些问题提供了新的代数方法。会议将重点讨论一种新的几何和代数的全球语言，它与以下领域有关：算术几何（例如，通过动机同伦理论研究动机的新方法；通过Hochschild和循环同伦研究k理论的新技术；自同构形式的同伦理论方法及其在经典同伦理论中的应用）例如，几何量子场论通过各种协共假设（通过手性同调和相关的非交换环谱）。范畴论（例如，通过Voevodsky的一元基础项目和计算机科学中同伦类型论的相关工作，以及涉及更高范畴论的基础工作和应用）这些领域的人口统计学和智力发展为该领域带来了不同的新研究人员，组织者希望会议将促进和鼓励这一发展。演讲者的名单强调了初级研究人员和多样性，但不会对正在讨论的工作的强度做出妥协。演讲者举例说明了在新方向上的突破性工作，指出了代数和几何的新综合之路。这次会议是一个让研究生和新研究人员了解这些发展的机会，并可能对他们的职业生涯产生重大影响。演讲者名单和其他详细信息可在会议网站上找到：//www.math.jhu.edu/matc/

The Mathematics Department at Johns Hopkins University is hosting a "Mid-Atlantic Topology Symposium: New Directions" at the Homewood campus in Baltimore, Maryland, Saturday-Sunday, March 12-13 2016. This meeting is inspired by a similar conference which took place in Spring 2015 at the University of Virginia. The PIs intend to establish a tradition of such meetings. Algebraic topology, geometry, and category theory are in the midst of a generational shift of language, techniques and paradigms, rooted in new ideas about higher homotopy-theoretic structures in geometry, physics, category theory, and data analysis. These fields are in ferment, with a forefront defined by a younger generation of researchers who bring new ideas from higher algebra to classical areas of geometry, physics, and applied mathematics. This conference is intended to help clarify the shifting boundaries and intersections in these closely related fields. Recent developments in computer science, physics, and big data are changing profoundly our notions of what constitutes geometry; in response, ideas from homotopy and category theory have provided new algebraic methods for (re)organizing our understanding of these questions, and how to approach them.The conference will focus on a developing new global language for both geometry and algebra, with connections to fields such as the following:1. arithmetic geometry (new approaches to motives, for example, via motivic homotopy theory; new techniques in K-theory via Hochschild and cyclic homology; homotopy-theoretic methods in automorphic forms, with applications to classical homotopy theory)2. geometric quantum field theory, for example, through various cobordism hypotheses (via chiral homology and related not-so-commutative ring spectra)3. category theory (e.g., through Voevodsky's univalent foundations project and related work on homotopy type theory in computer science, and involving foundational work in and applications of higher category theoryDemographic and intellectual developments in these areas have brought a diverse population of new researchers into the field, and the organizers hope that the conference will foster and encourage this development. The roster of speakers emphasizes junior researchers and diversity, but makes no compromises with the strength of the work under discussion. The speakers exemplify ground-breaking work in new directions, which points the way toward a new synthesis of algebra and geometry. This conference is an opportunity to expose graduate students and new researchers to these developments, and could have significant impact on their careers.A list of speakers and other details can be found at the conference websitehttp://www.math.jhu.edu/matc/