Geometric Methods in Representation Theory

表示论中的几何方法

• 批准号: EP/C527402/2
• 负责人: Alexander Stasinski
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Fellowship
• 财政年份: 2006
• 资助国家: 英国
• 起止时间: 2006 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FC527402%2F2
• 关键词: Geometric; Methods; Representation; Theory

According to the famous mathematician Hermann Weyl, Symmetry is a vast subject, significant in art and nature. Mathematics lies at its root, and it would be hard to find a better one on which to demonstrate the working of the mathematical intellect . Geometric Representation Theory is a research area that studies various geometric objects in order to obtain useful information about symmetries as it appears in mathematics, namely in the form of representations of groups. Representations have a large impact on mathematics, physics, and chemistry, and their study via geometric methods is a very active area of modern research. Combining one area of mathematics, namely geometry, with another, namely representation theory, means that this research builds on the expertise of two strong areas of British research in an inter-disciplinary way.As is common with post doctoral projects, this is an opportunity to develop the personal career of the candidate, as well as the research of the collaborators at the Host Institution. In addition to this, the project is also expected to stimulate both research in geometry, as well as representation theory, and therefore to have a particularly broad appeal to the UK research community.

著名数学家赫尔曼·外尔认为，对称性是一个巨大的课题，在艺术和自然界都有重要意义。数学是它的根源，很难找到一个更好的基础来证明数学智力的工作。几何表示论是一个研究领域，研究各种几何对象，以获得有关对称性的有用信息，因为它出现在数学中，即以群的表示形式。表示对数学、物理和化学有很大的影响，通过几何方法研究表示是现代研究中非常活跃的领域。结合数学的一个领域，即几何，与另一个领域，即表示论，意味着这项研究建立在英国研究的两个强大领域的专业知识，以跨学科的方式。与博士后项目一样，这是一个发展候选人个人职业生涯的机会，以及在东道国机构的合作者的研究。除此之外，该项目还有望刺激几何和表征理论的研究，因此对英国研究界具有特别广泛的吸引力。

项目成果

Unramified representations of reductive groups over finite rings

有限环上还原群的无枝表示

• 发表时间: 2009
• 期刊: Representation Theory, American Mathematical Society
• 作者: A Stasinski