Vincent Trageser: Classification of principal bundles in algebraic topology

Apr 23, 2014 | 04:00 PM

Abstract: In this talk, we give the homotopical classification of principal bundles
in algebraic topology. For a topological group G, we show there is a classifying
space BG such that homotopy classes of maps form a space X to BG are in
bijection with isomorphism classes of principal G-bundles on X. In particular, we
focus on the general linear group where we describe the classifying space as an
infinite Grassmannian.

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Time & Location

Apr 23, 2014 | 04:00 PM

Arnimalle 3, SR005