*时间：2023年4月18日  15：30-16：30

*地点：数学楼102

*主讲人：聂思安 研究员

*主持人：罗栗 教授

*讲座内容简介：

Let G be a simply connected semisimple group of rank rover an algebraically closed field. Steinberg has associated to each minimal length Coxeter element an r-dimensional affine space in G,which is a cross-section of all regular conjugacy classes of G. In this talk, we will consider natural analogues of Steinberg’s cross-sections in the context of a loop group equipped with a Frobenius automorphism. We will show how Steinberg’s cross-sections intersect Frobenius twisted conjugacy classes (which are also called Newton strata). Some interesting applications will also be discussed.

*主讲人简介：

聂思安，中国科学院数学与系统科学研究院研究员，国家优秀青年项目获得者。研究方向为代数群、仿射Hecke代数及其表示理论，仿射Deligne-Lusztig簇的几何及其在算数几何中的应用。相关成果获得国际同行专家的关注，发表在Duke. Math.J.、Math. Ann.,、Ann. Sci. Ec. Norm. Super.、Amer. J. math.、Composito Math.等著名数学期刊。