Representation Theory and Integrable Systems

表示论和可积系统

• 批准号: 1901810
• 负责人: Evgeny Mukhin
• 金额: $ 2万
• 依托单位: Indiana University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-07-01 至 2020-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1901810&HistoricalAwards=false
• 关键词: Representation; Theory; Integrable; Systems

The international conference "Representation theory and integrable systems" will take place at ETH Zurich August 12-16, 2019. There will be twenty invited lectures by renowned experts, contributed talks by younger faculty, and a number of graduate student presentations. The goal of the conference is to study the recent advances in the area in the title and to educate the younger researchers. This award will fund participation of US scientists in this conference, with priority given to recent PhDs and underrepresented minorities, so they can share their research and learn about the new ideas in the field.Quantum integrable systems are large families of commuting operators (Hamiltonians) acting on a vector space. Such families naturally appear in the representation theory of reductive Lie algebras and their corresponding quantum groups. The main goal is to study the spectra of the Hamiltoninians. It turns out that this question has deep connections to various mathematical theories: differential and difference equations, equivariant cohomology and K-theory, the theory of special functions, combinatorics, and more. The conference will provide a common venue for a diverse group of researchers who study the subject using different methods with different goals to interact and share recent advances. More details about the conference are available at http://rtis2019.math.iupui.edu/ and http://www.nccr-swissmap.ch/events/representation-theory-and-integrable-systems.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.

“表示论与可积系统”国际会议将于2019年8月12日至16日在苏黎世联邦理工学院举行。届时将有20场知名专家的特邀报告、年轻教师的贡献报告以及多场研究生报告。会议的目的是研究该领域的最新进展并教育年轻的研究人员。该奖项将资助美国科学家参加本次会议，优先考虑最近的博士学位和代表性不足的少数族裔，以便他们能够分享他们的研究并了解该领域的新想法。量子可积系统是通勤运营商（哈密尔顿人）的大家庭作用于向量空间。这样的族自然地出现在还原李代数及其相应量子群的表示论中。主要目标是研究哈密顿量的光谱。事实证明，这个问题与各种数学理论有着深刻的联系：微分方程和差分方程、等变上同调和 K 理论、特殊函数理论、组合数学等等。该会议将为不同的研究人员群体提供一个共同的场所，他们使用不同的方法和不同的目标来研究该主题，以便进行互动和分享最新进展。有关会议的更多详细信息，请访问 http://rtis2019.math.iupui.edu/ 和 http://www.nccr-swissmap.ch/events/representation-theory-and-integrable-systems。该奖项反映了 NSF 的法定奖项使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。