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math.GT2013★ 1 cited
Hecke Operators on Stable Cohomology
Frank Calegari, Matthew Emerton
We prove that the completed cohomology groups of SL_N(Z) in fixed degree stabilize as N goes to infinity. We also prove that the action of Hecke operators on stable cohomology is t…
math.AT2013
The Stable Homology of Congruence Subgroups
Frank Calegari
In a previous paper, the author (together with Matthew Emerton) proved that the completed cohomology groups of SL_N(Z) are stable in fixed degree as N goes to infinity (Z may be re…