6-12【Xiaochun Rong】Gromov-Hausdorff limits of Aspherical Manifolds

Speaker:  Xiaochun Rong (Rutgers University)

Time: 14:30-15:30, Jun 12, 2026

Room: room 1124, Material Science Research Building (Section C)

Let X be a compact Gromov-Hausdorff limit space of a collapsing sequence of compact asphercial n-manifolds, M_i, of Ricci curvature Ric_Mi ≥ −(n−1) and any point in the Riemannian universal covering space of M_i is a Reifenberg point, or sectional curvature sec_Mi ≥ −1, respectively. We conjecture that if the fundamental group of M_i satisfies a certain condition, then X is diffeomorphic, or homeomorphic to an aspherical manifold, respectively. In this talk, we will report recent advances on this conjecture.