Yi Lai will talk on 23rd March at 1.45pm UK time, 2.45pm Belgian time. Yi’s title is “A family of 3d steady gradient solitons that are flying wings” and her abstract is below.
A family of 3d steady gradient solitons that are flying wings
We find a family of 3d steady gradient Ricci solitons that are flying wings. This verifies a conjecture by Hamilton. For a 3d flying wing, we show that the scalar curvature does not vanish at infinity. The 3d flying wings are collapsed. For dimension n ≥ 4, we find a family of Z2 × O(n − 1)-symmetric but non-rotationally symmetric n-dimensional steady gradient solitons with positive curvature operator. We show that these solitons are non-collapsed.