Pointwise lower scalar curvature bounds for $C^0$ metrics via regularizing Ricci flow

Geometry & Topology
Event time: 
Tuesday, October 13, 2020 - 4:00pm
Paula Burkhardt-Guim
Speaker affiliation: 
UC Berkeley
Event description: 

We propose a class of local definitions of weak lower scalar curvature bounds that is well defined for $C^0$ 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 $C^0$ 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.

Special note: 
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