Geometric structures in low dimensions

低维几何结构

• 批准号: RGPIN-2017-05403
• 负责人: Charette, Virginie
• 金额: $ 1.46万
• 依托单位: Université de Sherbrooke
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635347
• 关键词: Geometric; structures; low; dimensions

Higher Teichmüller theory is the study of higher dimensional geometric structures arising from the action of a discrete action of a group of isometries of the hyperbolic plane. It is a beautifully developing area of research, enriched by contributions from the theory of Higgs bundles, maximal representations, dynamics, etc. Between classical two-dimensional hyperbolic geometry and this higher dimensional theory, a wealth of interesting and somewhat concrete examples abound.

高泰希<e:1>勒理论是研究由双曲平面上一组等距线的离散作用所产生的高维几何结构的理论。这是一个发展良好的研究领域，希格斯束理论、极大表示、动力学等的贡献丰富了这一领域。在经典的二维双曲几何和这种高维理论之间，有大量有趣而又有些具体的例子。