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Presented By: Representation Stability Seminar - Department of Mathematics

Rational duality groups and the Cohomology of SL_n(Z)

Urshita Pal

Certain classes of groups, such as the special linear groups over integers, satisfy a (co)homological duality property that allows one to study their rational cohomology groups. I'll discuss a criterion to test when a group satisfies this duality, and see how in the case of SLnZ this comes down to the fact that the Tits building is homotopy equivalent to a wedge of spheres.

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