Seminars & Colloquia Calendar
Curvature measure on spaces with lower curvature bounds
Nan Li (CUNY)
Date & time: Tuesday, 02 November 2021 at 11:15AM - 12:15PM
Abstract: We will discuss some recent progress on the curvature measure problems.
1. Is there an upper bound of curvature integrals, provided that sectional or Ricci curvature is bounded from below?
2. Suppose that a sequence of manifolds M_i Gromov-Hausdorff converge to a limit space X. As a measure, what is the behavior of the limit of the curvature integral on M_i? In particular, how to describe the curvature concentrate (degenerated measure) at the singular points?
3. Given a singular space X with curvature bounded from below in comparison sense, what is the notion of curvature measure on X?