Name: Inkang Kim - Positivity of Gromov simplicial volume of non-positively curved 4-manifolds
Start: 2026-01-06T14:00:00+01:00
End: 2026-01-06T15:00:00+01:00
Location: UMPA

Description

We show the positivity of Gromov simplicial volume for closed, non-positively curved 4-manifolds with non-zero Euler number, and consequently with negative Ricci curvature. This has been a long-standing open question by Gromov.
We use the Gauss-Bonnet theorem for Riemannian simplices by Allendoerfer and Weil. This is a joint work with X. Wan.

Inkang Kim - Positivity of Gromov simplicial volume of non-positively curved 4-manifolds

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UMPA