【Academic lecture】Nilpotent orbits and representations of Lie algebras

Topic: Nilpotent orbits and representations of Lie algebras

Speaker: 姚裕豐，上海海事大學理意昂2院長、教授🧥、博導。2010年博士畢業於華東師範大學數學系，研究方向為李理論及表示理論，包括特征零域上無限維李（超）代數表示及素特征域有限維李（超）代數表示及相關的幾何性質研究等👩🏻‍🔧，相關研究成果發表在中國科學、Journal  of Algebra、Forum Mathematicum、Proceedings of the Royal Society of  Edinburgh Section A: Mathematics👨‍👧‍👦、Journal of the Mathematical Society of  Japan🚏、Mathematische  Nachrichten等國內外主流數學期刊上✮🪽。主持和參與國家級和上海市級科研項目十余項🌟，入選上海市級人才計劃。任中國高等教育學會教育數學專業委員會常務理事🐉。

Introduction: 

This is a survey of  nilpotent orbits and representations in modular Lie algebras based on  the work of J. C. Jantzen etc., and joint work with Bin Shu and Yunpeng Xue.  We first recall the classical theory of nilpotent orbits in  representations of reductive Lie algebras in prime characteristic. Then  we further study nilpotent orbits of the enhanced reductive Lie  algebras, and give a sufficient and necessary condition for finite  nilpotent orbits. All finite nilpotent orbits are precisely  parameterized, and their closure are determined.

Time: 2024.6.28 14:00