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.
06/03 at 11 am (CET)
Breakfast can wait
I will recall the recipe for the construction of the O(n) x O(1)-symmetric "ancient pancake" solution to the mean curvature flow (joint with Bourni and Tinaglia), and then show how to join two pancakes together with a neck to form a "pancake stack" (joint with Mramor and Yudowitz). Whereas the ancient pancake admits a very precise description, the somewhat different approach employed to construct the pancake stack does not yield very precise information, leaving some interesting questions open.