Almost Rigidity of Graphs over Tori

Scalar Curvature and Intrinsic Flat Convergence - Prof. Sormani

Fields Institute Summer School on Geometric Analysis

Almost Rigidity* of Graphs over Tori Project (p 81 of course notes)

Team:

Robin Neumayer (UT Austen, Northwestern)

Raquel Perales (SUNYSB, UNAM in Oaxaca)

Christian Ketterer (Bonn, Fields, U Toronto)

Robert Haselhofer talking to the team:

Raquel Perales organized a Workshop at UNAM in Mexico in Spring 2018 so that this team could work together again. There Armando Cabrera Pacheco (U Tubingen) joined the team. Robin chose to quit the team after this meeting.

Raquel, Armando, and Christian met to work on this at the Montreal meeting in Summer 2018 and then continued to meet long distance for two more years to complete this challenging project. Their paper has been accepted by Calc Var PDE:

Armando J. Cabrera Pacheco, Christian Ketterer, Raquel Perales "Stability of Graphical Tori with Almost Nonnegative Scalar Curvature" to appear in CVPDE.03458

Meanwhile Robin Neumayer took a postdoc with Aaron Naber and completed work with him and Man-Chun Lee with a different approach to studying the limits of manifolds with lower bounds on scalar curvature: "d^p Convergence and Epsilon Regularity Theorems..."


Sormani was partially supported by NSF DMS \#1006059