Analysis and Mathematical Physics

Date:
Feb
10
2026

Analysis and Mathematical Physics

Linear Stability of Shrinking Ricci Solitons and First Eigenvalue Estimates
Huai-Dong Cao
2:30pm|Simonyi Hall 101 and Remote Access

Ricci solitons, introduced by R. Hamilton in the mid-80s, are self-similar solutions to the Ricci flow and natural generalizations of Einstein manifolds. Shrinking Ricci solitons, in particular,  model Type I singularities of the Ricci flow and...