National Institute of the Republic of Serbia
ὅδε οἶκος, ὦ ἑταῖρε, μνημεῖον ἐστιν ζωῶν τῶν σοφῶν ἀνδρῶν, καὶ τῶν ἔργων αὐτῶν
Seminar for Combinatorics, Geometry, Algebra and Topology
PROGRAM
Seminar Kombinatorika, Geometrija, Topologija, Algebra (KGTA)
PLAN RADA ZA APRIL 2026:
Četvrtak, 16.04.2026. u 12:15, Kneza Mihaila 36, sala 301f i Online
Marcus Zibrowius, Heinrich Heine University Düsseldorf
VECTOR BUNDLES FROM GROUP REPRESENTATIONS
A vector bundle is a geometrically organized family of vector spaces. I will give a broadly accessible introduction to a particular construction of such bundles out of representations of (Lie) groups, which can be traced back to early work of Atiyah and Hirzebruch. A classical result asserts that, over certain homogeneous spaces, essentially all vector bundles can be obtained from this single construction. I will illustrate this result with a wide range of examples, and present a recent extension to a significantly larger class of spaces known as biquotients.
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