Geometric Methods in Representation Theory

根据著名数学家赫尔曼·魏尔（Hermann Weyl）的说法，对称是一个巨大的主题，在艺术和自然中都很重要。数学是它的根源，很难找到一个更好的例子来证明数学智力的运作。几何表示理论是一个研究领域，它研究各种几何对象，以获得关于对称性的有用信息，因为它出现在数学中，即以群的表示形式。表征对数学、物理和化学都有很大的影响，通过几何方法对其进行研究是现代研究的一个非常活跃的领域。将数学的一个领域，即几何，与另一个领域，即表征理论相结合，意味着这项研究以跨学科的方式建立在英国研究的两个强大领域的专业知识之上。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，也是一个在主办机构合作研究的机会。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。

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.