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3. Steinberg Modules & Homology


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      Problem 3.1.

      What can we say about $H_\ast(O(3)^\delta$)? $H_\ast(PSL_2(\R)^\delta)$?


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          Problem 3.2.

          Does $H_i(O(n)^\delta,St_n(\R)\otimes \Q)$ vanish for sufficiently large $n$? Applications to homological stability?


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              Problem 3.3.

              Compute homology of $SK$-automorphism groups of manifolds.

                  Cite this as: AimPL: Scissors congruences, algebraic K-theory and Steinberg modules, available at http://aimpl.org/scissorssteinberg.