Abstract: One of the most fundamental questions in representation theory asks for a description of the simple representations. I will give an introduction to this problem with an emphasis on the representation theory of Lie groups and algebras. A recurring theme is the appearance of geometric techniques in seemingly algebraic problems.
https://eta.impa.br/dl/PL007.pdf
https://arxiv.org/abs/1801.00896
本文讨论表示论中的几何方法， 特别是分解定理在代数几何和表示论中的重要作用。作者运用反常层和相交上同调的方法，证明了Hecke代数的表示论中关于Soergel双模的Hodge理论，由此给出Kazhdan-Lusztig猜想的一个纯代数证明。
相关附件
17-PL007 Williamson
