Smooth locus of Spec(Z) for a finite W-algebra in prime characteristic and the connection to the modular representations

发布时间：2021-09-27 作者：浏览次数：

Speaker:	舒斌	DateTime:	2021年10月18日(周一)上午09：00-10：00
Brief Introduction to Speaker: 舒斌，教授，华东师范大学		Place:	六号楼二楼报告厅
Abstract:In this talk, I will describe the center Z of the finite W-algebra U(g,e) with a semisimple Lie algebra g over an algebraically closed field k of characteristic p>0, and an arbitrarily given nilpotent element e ∈ g. For Spec(Z), we show that it is a normal variety, and its Azumaya locus coincides with its smooth locus of smooth points. The former locus reflects irreducible representations of maximal dimension for U(g,e).This is a joint work with Yang Zeng.