##### Department of Mathematics,

University of California San Diego

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### Seminar on Cheeger-Colding theory, Ricci flow, Einstein metrics, and Related Topics

## Yi Lai

#### UC Berkeley

## A family of 3-dimensional steady gradient Ricci solitons that are flying wings

##### Abstract:

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 $n \geq 4$, we find a family of $\mathbb{Z}_2 \times O(n âˆ’ 1)$-symmetric but non-rotationally symmetric n-dimensional steady gradient solitons with positive curvature operator. We show that these solitons are non-collapsed.

Host: Bennett Chow

### March 24, 2021

### 7:00 PM

### Email bechow@ucsd.edu for Zoom information.

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