数论与表示论讨论班:Sian Nie Steinberg’s cross-section of Newton strata


时间:5月31日 15:00-16:00


地点:东7一层报告厅


报告内容:

Let G be a simply connected semisimple group of rank r over 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 parameterized by Newton polygons). Some interesting applications will also be discussed.


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