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Speaker:
Justin Noel
Zugehörigkeit:
U de Strasbourg/MPI
Datum:
Mon, 14/03/2011 - 14:00 - 15:00
Location:
MPIM Lecture Hall
Parent event:
Topics in Topology In this talk I will present some elementary computations in
equivariant (Bredon) homology and cohomology. First I will give a
brief introduction to equivariant homotopy theory and Bredon
(co)homology. For the computations we will focus on the case of a
cyclic group G and constant coefficients Z. We will compute the
equivariant (co)homology of the one point compactification of any
finite dimensional real G-representation. Non-equivariantly these
spaces are just spheres, but their Bredon (co)homology groups will
usually have torsion. The direct sum operation on representations
induces a product in the 'RO(G)-graded' theory. Under this product we
will see that these computations can be unified in an elegant way.
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