Midwest Workshop on Schubert Calculus

中西部舒伯特微积分研讨会

• 批准号: 1763010
• 负责人: David Anderson
• 金额: $ 2.72万
• 依托单位: Ohio State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-03-15 至 2019-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1763010&HistoricalAwards=false
• 关键词: Midwest; Workshop; Schubert; Calculus

This award provides travel and lodging support for participants in a Workshop on Schubert Calculus, to take place May 9-12, 2018, at the Ohio State University in Columbus, Ohio. The topic of the conference has its origins in 19th century enumerative geometry, when mathematicians computed numbers of geometric figures satisfying various conditions. The subject grew into a testing ground for Intersection Theory, which is now a cornerstone of modern mathematics. This workshop will bring together researchers and students coming from different backgrounds, to present various points of view on the subject of Schubert Calculus.A large part of Schubert Calculus concerns the cohomology rings of Grassmannians and flag manifolds, as well as their generalizations. The subject has deep connections to combinatorics, representation theory, and algebraic geometry, and the last 15 years have seen remarkable developments in the techniques of Schubert Calculus. A guiding problem is to find combinatorial formulas for the multiplication of Schubert classes in flag varieties; several new cases of this problem were solved. New research has extended our understanding of Schubert calculus to the infinite-dimensional affine (and Kac-Moody) flag varieties, simultaneously deepening the connection with representation theory. Major goals of this conference include sharing new results and introducing a new generation of students to the techniques, applications, and open problems in the field. More details about the workshop are available at https://people.math.osu.edu/anderson.2804/schub2018.html.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.

该奖项为2018年5月9日至12日在俄亥俄州哥伦布的俄亥俄州立大学举行的舒伯特微积分研讨会的参与者提供了旅行和住宿支持。 会议的主题起源于19世纪列举的几何形状，当时数学家计算了满足各种条件的几何形象数量。 该主题成长为交叉理论的测试场，现在是现代数学的基石。 该研讨会将汇集来自不同背景的研究人员和学生，介绍有关Schubert Colculus主题的各种观点。SchubertCilculus的大部分内容涉及司芒氏药水群体和国旗歧管的共同体学及其概括。该受试者与组合学，表示理论和代数几何形状有着深厚的联系，并且过去15年在Schubert Colculus的技术方面取得了显着的发展。 一个指导问题是找到用于国旗品种中舒伯特类繁殖的组合公式。解决了此问题的几个新案例。 新的研究将我们对舒伯特演算的理解扩展到了无限维仿射（和KAC-MOODY）的标志品种，同时通过表示理论加深了联系。 这次会议的主要目标包括分享新的结果，并将新一代学生引入该领域的技术，应用程序和开放问题。有关研讨会的更多详细信息，请访问https://people.math.osu.edu/anderson.2804/schub2018.html.html.this Award反映了NSF的法定任务，并被认为是通过使用该基金会的知识分子和更广泛的评估来获得的支持。影响审查标准。