Number Theory Seminar

A vanishing theorem for residual Eisenstein cohomology

Samuel Mundy, Postdoc, Department of Mathematics, Princeton University,

We will discuss the residual Eisenstein cohomology of semisimple groups in the context of maximal parabolic subgroups which remain maximal over R. Under certain general hypotheses, we show that these residual representations are cohomological one degree below middle, and one above; however, we show also that the classes above middle vanish in the full automorphic cohomology, while the ones below middle persist.

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