Number Theory and Representation Theory Seminar

Time: May 31, Wednesday, 15:00-16:00

Venue: Lecture Hall, Institute of Advanced Mathematics

Speaker: Sian Nie (Academy of Mathematics and Systems Science)

Title: Steinberg's cross section of Newton strategy

Abstract: Let G be a simply connected semisimple group of rank over an algebraically closed field Steinberg has been associated to each minimum length Mixer element an r-dimensional after space in G, which is a cross section of all regular conjunction classes of G. In this talk, we will consider natural analyses of Steinberg's cross sections in the context of a loop group equipped with a Frobenius automobile We will show how Steinberg's cross sections intersect Frobenius twisted junction classes (which are parameterized by Newton polygons) Some interesting applications will also be discussed.