Mathematical Sciences: Homology of Hilbert Modular Groups   and the Sympletic Group
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Let G be a group which acts on a contractable space X.  One                calls Y included in X a spine if Y is a G-equivariant deformation               retract of X, the dimension of Y is the virtual cohomological                   dimension of G, and Y has a simplical complex structure which is                compatible with the action of G.  Brownstein is interested in the               case where G is SL(2,0) and X is H2 x H2, where 0 is the ring of                integers in a real quadratic number field and also the case where               G is Sp(2g,Z) the symplectic group and X is the Siegel upper half               space.  He plans to compute the integral homology of G by                       constructing appropriate spines.  The actual computation is done                via the spectral sequence associated with the Borel construction.
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{'Code': '126700', 'Text': 'TOPOLOGY'}
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