KTA seminar, 20. septembar 2016.

Naredni sastanak Seminara biće održan u utorak, 20. septembra 2016. u sali 301f Matematičkog instituta SANU sa početkom u 12 časova.

Predavač: Marcus Zibrowius, Heinrich Heine University Düsseldorf, Germany

Naslov predavanja: HOMOGENEOUS BUNDLES ON HOMOGENEOUS SPACES

Apstrakt: Consider a compact homogeneous manifold of the form G/H, where G is a compact Lie group and H a subgroup of maximal rank. A classical theorem of Atiyah, Hirzebruch, Hodgkin and Pittie asserts that, under mild hypotheses, every complex vector bundle on G/H is “stably homogeneous”, i.e., arises from some complex representation of H. Is the same true for real vector bundles and real representations? The situation is in fact still unclear. A (mostly) negative answer for “full flag varieties” (G/T with T a maximal torus) will be outlined, but also some recent positive results for homogeneous spaces of positive curvature will be mentioned.



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