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A sheaf-theoretic approach to homology manifolds and Poincaré/Atiyah duality

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Marco Volpe
Universität Regensburg/MPIM
Mon, 22/05/2023 - 15:00 - 16:00
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

In this talk I will review the construction of the six functor formalism on locally compact Hausdorff spaces with coefficients in general stable infinity-categories, and explain how to interpret Poincaré and Atiyah duality through this language. As an application, I will show that any locally of constant shape integral homology manifold satisfies Poincaré and Atiyah duality.

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