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Topology/Geometry Seminar

Non-negative Ricci curvature, stability at infinity, and finite generation of fundamental groups

Jiayin Pan (Rutgers)

Location:  Hill 525
Date & time: Tuesday, 20 March 2018 at 3:30PM - 4:30PM

Abstract:  In 1968, Milnor conjectured that any open n-manifold M of non-negative Ricci curvature has a finitely generated fundamental group. This conjecture remains open today. In this talk, we show that if there is an integer k such that any tangent cone at infinity of the Riemannian universal cover of M is a metric cone, whose maximal Euclidean factor has dimension k, then pi_1(M) is finitely generated. In particular, this confirms the Milnor conjecture for a manifold whose universal cover has Euclidean volume growth and unique tangent cone at infinity.

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