Looking beyond the classical curvatures: geometry and topology in the middle ground.

David Wraith (Maynooth University)

Monday 5th October 15:00-16:00
Maths 311B

Abstract

As well as the classical sectional, Ricci and scalar curvatures in Riemannian geometry, there are also various `intermediate' curvatures which interpolate in some way between the classical notions. The idea of intermediate curvatures is not new, but interest has grown considerably in recent years. This is especially true for positive intermediate curvatures. In this talk we will focus on positive intermediate Ricci curvatures and discuss some recent developments, including joint work with Philipp Reiser, Catherine Searle and Fred Wilhelm. 

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