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古 星 博士:A Topological Approach to The Motivic Cohomology of BPGLn

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 古 星 博士，Max Planck Institute for Mathematics
Inviter:
Title:
 A Topological Approach to The Motivic Cohomology of BPGLn
Time & Venue:
 2021.05.10 09:30-11:30 南楼N902室
Abstract:
 腾讯会议：325 689 348
For an algebraic group G over C, we have the classifying space BG in the sense of Totaro, which is an object in the unstable motivic homotopy category that plays a similar role in algebraic geometry as the classifying space of a Lie group in topology. The motivic cohomology (in particular, the Chow ring) of BG is closely related, via the cycle map, to the singular cohomology of the topological realization of BG, which is a classifying space in the usual sense. In this talk we exploit the above connection between motivic and singular cohomology to show that, at least in the case G = PGLn, we may study the Chow ring of BG through devices from algebraic topology, such as the Serre spectral sequences and the Steenrod operations.

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