Paula Burkhardt-Guim, UC Berkeley

Title: Pointwise lower scalar curvature bounds for C0 metrics via regularizing Ricci flow

Abstract: We propose a class of local definitions of weak lower
scalar curvature bounds that is well defined for C0 metrics.
We show the following: that our definitions are stable under
greater-than-second-order perturbation of the metric, that there
exists a reasonable notion of a Ricci flow starting from C0 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 C0 initial data.