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Topology/Geometry Seminar

Nonnegative Ricci curvature, nilpotency, and asymptotic geometry

Jiayin Pan (UC at Santa Cruz)

Location:  Hill 705
Date & time: Tuesday, 26 March 2024 at 4:00PM - 5:00PM

The interplay between geometry and topology is always one of the central topics in Riemannian geometry. For open (noncompact and complete) manifolds with nonnegative Ricci curvature, it is known that the fundamental groups could be torsion-free nilpotent. This is distinct from open manifolds with nonnegative sectional curvature, whose fundamental groups are virtually abelian. This talk will cover how the virtual nilpotency/abelianness of the fundamental group is related to the equivariant asymptotic geometry.

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