Joint IAS/PU Analysis Seminar

Topic: Generalized Cylinder Limits of Ricci Flow Singularities
Speaker: Natasa Sesum
Affiliation: Rutgers University
Date: April 19, 2024

We study multiply warped product geometries MN:=Bn×Fn1×···×FnA
g = g_B + \sum_{a=1}^A v_a^2 g_{F^{n_a}} and show that for an open set of initial data within multiply warped product geometries the Ricci flow starting at any of those develops generalized cylinder as singularity model. More precisely, for any p and q we construct an open set of initial data within multiply warped product geometris whose Ricci flows develop S^p\times R^q as a singularity model.