Scalar Curvature Compactness for Warped Product Circles over Spheres with Varying Base Metrics

Speaker：Changliang Wang (Tongji University)

Time：2026-6-9 11:00

Location：Conference Room S204 at Experiment Building at Haiyun Campus

Abstract:

Scalar curvature lower bounds impose strong global restrictions on smooth Riemannian manifolds, but their compactness theory is much less understood than the corresponding theories for sectional or Ricci curvature. Gromov and Sormani conjectured that a sequence of three-dimensional Riemannian manifolds with nonnegative scalar curvature and suitable uniform geometric bounds should have a subsequence which converges in the intrinsic flat sense to a limit space with some generalized notion of nonnegative scalar curvature. In this talk, I will discuss this conjecture and present recent progress in several model settings. In particular, I will report on recent joint work with Zhixin Wang, in which we establish scalar curvature compactness results for warped product circles over spheres with varying base metrics.