

Ricci curvature, fundamental group and the Milnor conjecture (I)
By Aaron Naber


Ricci curvature, fundamental group and the Milnor conjecture (II)
By Daniele Semola


On Gromov’s rigidity theorem for polytopes with acute angles
By Yipeng Wang
Appears in collection : Not Only Scalar Curvature Seminar
We describe some recent work that has been done to generalize the notion of lower scalar curvature bounds to $C^0$ metrics, including a localized Ricci flow approach. In particular, we show the following: that there is a Ricci flow definition which is stable under greater-than-second-order perturbation of the metric, that there exists a reasonable notion of a Ricci flow starting from $C^0$ initial data which is smooth for positive times, and that the weak lower scalar curvature bounds are preserved under evolution by the Ricci flow from $C^0$ initial data.