PostDoctoral Research Fellowship

博士后研究奖学金

• 批准号: 1703183
• 负责人: Alexander Shapiro
• 金额: $ 15万
• 依托单位: Shapiro Alexander
• 依托单位国家: 美国
• 项目类别: Fellowship Award
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-07-01 至 2021-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1703183&HistoricalAwards=false
• 关键词: PostDoctoral; Research; Fellowship

This award is made as part of the FY 2017 Mathematical Sciences Postdoctoral Research Fellowships Program. Each of the fellowships supports a research and training project at a host institution in the mathematical sciences, including applications to other disciplines, under the mentorship of a sponsoring scientist. The title of the project for this fellowship to Alexander Shapiro is "Quantum Groups as Quantum Character Varieties and Their Representations." The host institution for the fellowship is the University of Toronto, and the sponsoring scientist is Joel Kamnitzer.

该奖项是 2017 财年数学科学博士后研究奖学金计划的一部分。每项奖学金都支持数学科学主办机构的研究和培训项目，包括在资助科学家的指导下在其他学科的应用。亚历山大·夏皮罗 (Alexander Shapiro) 奖学金项目的标题是“量子群作为量子特征变体及其表示”。该奖学金的主办机构是多伦多大学，资助科学家是 Joel Kamnitzer。

项目成果

A cluster realization of $$U_q(\mathfrak {sl}_{\mathfrak {n}})$$ U q ( sl n ) from quantum character varieties

来自量子特征簇的 $$U_q(mathfrak {sl}_{mathfrak {n}})$$ U q ( sl n ) 的集群实现

• DOI: 10.1007/s00222-019-00857-6
• 发表时间: 2019
• 期刊: Inventiones mathematicae
• 影响因子: 3.1
• 作者: Schrader, Gus;Shapiro, Alexander
• 通讯作者: Shapiro, Alexander

Dual pairs of quantum moment maps and doubles of Hopf algebras

量子矩图的对偶和 Hopf 代数的双精度数

• DOI: 10.1016/j.jalgebra.2017.08.021
• 发表时间: 2017
• 期刊: Journal of Algebra
• 影响因子: 0.9
• 作者: Schrader, Gus;Shapiro, Alexander
• 通讯作者: Shapiro, Alexander

Quantum groups, quantum tori, and the Grothendieck–Springer resolution

量子群、量子环面和格洛腾迪克施普林格分辨率

• DOI: 10.1016/j.aim.2017.09.010
• 发表时间: 2017
• 期刊: Advances in Mathematics
• 影响因子: 1.7
• 作者: Schrader, Gus;Shapiro, Alexander
• 通讯作者: Shapiro, Alexander