Chern classes for reductive groups -- 
Valentina Kiritchenko, March 25, 2005

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I will first recall some well-known results for toric varieties
such as simple computation of their Chern classes and explicit
formulas for the Euler characteristic of complete
intersections. Then I will discuss how these results can be
extended to the case when a toric variety is replaced by a
compactification of an arbitrary complex reductive group. This
leads to a construction of analogs of the Chern classes for
reductive groups and to a noncompact adjunction formula for
complete intersections.