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.

国际会议“代表理论和综合系统”将于2019年8月12日至16日在苏黎世Eth举行。著名的专家将邀请二十次邀请讲座，由年轻的教职员工进行贡献，并进行许多研究生演讲。会议的目的是研究标题中该领域的最新进展，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的参与，并优先考虑最近的博士学位和代表性不足的少数民族，因此他们可以分享他们的研究并了解该领域的新想法。QuantumAntegrable Systems是通勤运营商（汉密尔顿人）在矢量领域作用的大型家庭。这些家庭自然出现在还原性谎言代数及其相应量子群的表示理论中。主要目标是研究哈密顿素人的光谱。事实证明，这个问题与各种数学理论有着深厚的联系：差分方程，等模化的共同体学和K理论，特殊功能，组合主义者的理论等。该会议将为一群不同的研究人员提供一个共同的场所，他们使用具有不同目标的不同方法来研究主题，以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/ and http://wwwww.nccr-swissmap.ch/events/representation/representation-theory-and-integrable-systems.this奖，这反映了NSF的法定宣教和范围的范围。