23/02 at 11 am (CET)
Quantitative Ricci Flow smoothing on manifolds and applications
Local existence theory of Ricci Flow plays an important role in regularizing metrics on both non-compact manifolds and singular metrics. In this talk, we will discuss Ricci Flow smoothing from metrics which is modeled by cone. We will discuss several applications in recent years, concerning both regularity of Gromov-Hausdorff limit and uniformization type problem on non-compact manifolds.
27/02 at 11 am (CET)
Sheet happens (but only as the root of 1-s)
We discuss regularity properties of 2-dimensional stable s-minimal surfaces, presenting a robust regularity estimate and an optimal sheet separation bound, according to which the distance between different connected components of the surface must be at least the square root of 1-s.