Joint work with Flore Sentenac (CREST)
Although robust learning and local differential privacy are both widely studied fields of research, combining the two settings is an almost unexplored topic. We...
Rigidity of the spectral gap for non-negatively curved RCD spaces
First I will review results about the connection between spectral estimates and Ricci curvature for Riemannian manifolds and metric measure spaces. In particular for non-negatively curved spaces the spectral gap is $(\pi/diam)^2$. Moreover, an RCD(0,N) space has first Laplace eigenvalue equal to $(\pi/diam)^2$ if and only if it is a circle or an interval. This is joint work with Yu Kitabeppu and Sajjad Lakzian.