Nov 5, 2024
Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature
Mathphys Analysis Seminar
Date: November 5, 2024 |
4:30 pm –
5:30 pm
Speaker:
Daniele Semola, University of Vienna
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language:
English
Let $(M,g)$ be a smooth, complete Riemannian manifold with nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay which is not isometric to $\mathbb{R}^n$. I will discuss joint work with Gioacchino Antonelli and Marco Pozzetta where we prove that there exists a set $\mathcal{G}\subset (0,\infty)$ with density one at infinity such that for each volume $V\in\mathcal{G}$ there is a unique isoperimetric region with volume $V$ inside $M$.
