Poincaré duality for groupoid homology

Makoto Yamashita (University of Oslo)

Tuesday 24th October, 2023 13:00-14:00 Maths 116


Torsion free nilpotent groups satisfy the Poincaré duality, which says that its k-th homology group is isomorphic to its (n - k)-th cohomology group, where n is the dimension of the associated Lie group. I explain an analogue in the groupoid setting that allows a computation of homology for étale groupoids arising from Anosov diffeomorphisms and other hyperbolic dynamical systems.

Based on joint work with V. Proietti.

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