Conference Proposal: Kylerec Student Workshop in Symplectic and Contact Geometry

这项国家科学基金会奖为接下来将于2018年和2019年举办的两个Kylerec学生研讨会提供部分支持。Kylerec研讨会旨在将辛几何和接触几何领域的有抱负的数学家以及来自许多机构的有抱负的数学家引入充满活力的研究领域，促进合作，在年轻研究人员之间建立牢固的研究联系，从而促进未来的合作和研究。该研讨会是专门为鼓励在辛几何和接触几何领域的不同研究人员的发展而设计的。这是一个为期一周的密集研讨会，所有活动都在一个屋檐下进行。讲座由研究生学员在三到四名导师的帮助下进行，导师是该领域的新兴专家研究人员。2018年，研讨会将于5月25日至5月31日在华盛顿州莱文沃斯的Levenworth Lodge举行，由Uppsala的Thomas Kragh、宾夕法尼亚大学的Roberta Guadagni、Brandeis的赵静瑜和麻省理工学院的Kyler Siegel指导。主题是邻近拉格朗日猜想，它是关于余切丛的辛拓扑的一个中心开放问题，也是该学科最近的许多技术发展的纽带。这次研讨会的目的是了解这个问题的现状：包括所使用的技术工具，如Fukaya类别，以及在这个问题上工作产生的一些更广泛的哲学。讲座笔记和更多信息将在网站上提供，https://kylerec.wordpress.com/.This奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This National Science Foundation award provides partial support for the next two Kylerec student workshops to be held in 2018 and 2019. The Kylerec 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 to four mentors, who are emerging expert researchers in the field. This setup enhances communication skills, encourages active involvement of the participants and forging new collaborations.In 2018, the workshop will be held from May 25 to May 31 in the Leavenworth Lodge in Leavenworth, WA, and will be mentored by Thomas Kragh (Uppsala), Roberta Guadagni (U. Penn.), Jingyu Zhao (Brandeis) and Kyler Siegel (MIT). The topic is the nearby Lagrangian conjecture, which is a central open question about the symplectic topology of cotangent bundles, and has been a nexus for much of the recent technical development in the subject. The objective of this workshop is to understand the state of the art in this problem: including both the technical tools utilized, such as Fukaya categories, as well as some of the broader philosophy that has come out of work on this problem. Notes from the lectures and further information will be available on the website https://kylerec.wordpress.com/.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.