Graduate student workshop in symplectic and contact geometry

这个国家科学基金会奖提供了一个研讨会将于2017年5月19日至25日在特拉基，加州举行的部分支持。本次研讨会旨在介绍辛几何和接触几何领域的有抱负的数学家，并从许多机构到充满活力的研究领域，促进合作，在年轻研究人员之间形成强大的研究联系，从而促进未来的合作和研究。 该研讨会是专门设计的，以鼓励在辛和接触几何领域的研究人员的多样化的发展。这是一个为期一周的密集讲习班，所有活动都在同一个屋檐下进行。讲座由研究生参与者在三位导师的帮助下进行：Roger Casals（麻省理工学院），Laura Starkston（斯坦福大学）和Steven Sivek（波恩），他们是该领域的新兴专家研究人员。这种设置提高了沟通技巧，鼓励参与者积极参与并建立新的合作。2017年研讨会的主题是接触流形的辛填充，这是一个既有丰富历史又有许多新想法的主题。 现代对辛填充的理解的一个主要方面是通过辛几何和接触几何中不断增长的二分法：柔性与刚性。一些填充可以是灵活的，在这种情况下，它们完全由微分拓扑数据决定同构;否则，有希望J-全纯曲线的一些计数意味着辛几何比基础微分拓扑更微妙。研讨会的一个目标是在这两个不同的观点之间建立桥梁。讲座笔记和更多信息将在网站https://kylerec.wordpress.com/上提供

This National Science Foundation award provides partial support for a workshop to be held May 19-25, 2017 at Truckee, California. This workshop aims to introduce aspiring mathematicians in the fields of symplectic and contact geometry and from many institutions to vibrant areas of research, fostering collaboration, forming strong research ties between young researchers, and thus promoting future collaboration and research. The workshop is specifically designed to encourage the development of a diverse group of researchers in the fields of symplectic and contact geometry. It is a week-long intensive workshop, in which all activities occur under one roof. The lectures are delivered by the graduate student participants with the help of three mentors: Roger Casals (MIT), Laura Starkston (Stanford), and Steven Sivek (Bonn), who are emerging expert researchers in the field. This setup enhances communication skills, encourages active involvement or the participants and forging new collaborations.The topic of the 2017 workshop is symplectic fillings of contact manifolds, a topic with both a rich history and lots of new ideas that are currently being developed. One major aspect of the modern understanding of symplectic fillings is via an ever-growing dichotomy in symplectic and contact geometry: flexibility versus rigidity. Some fillings can be flexible, in which case they are completely determined up to isomorphism by differential-topological data; otherwise, there is a hope that some count of J-holomorphic curves implies that the symplectic geometry is more nuanced than the underlying differential topology. One goal of the workshop is to form bridges between these two different perspectives. Notes from the lectures and further information will be available on the website https://kylerec.wordpress.com/