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College of Liberal Arts and Sciences | Mathematics

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January 29, 2019 | 2:00 p.m. - 3:00 p.m.
Category: Seminar
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker: Viktor Kleen, University of Southern California

Title: A motivic Snaith splitting of BGL_n


The filtration BGL_0 subset dots subset BGL_{n-1} subset BGL_n is split by motivic Becker-Gottlieb transfers in the motivic stable homotopy category over any scheme.  This recovers results by Snaith on the splitting of BGL_n(C) in classical stable homotopy theory by passing to complex realizations.  On the way, we extend motivic homotopy theory to smooth ind-schemes as bases and show how to construct the necessary fragment of the six operations and duality for this extension.

For more information about this event, please contact Department of Mathematics at 313-577-2479 or