Title: Gromov’s Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature

Speaker: Qiaochu Ma, Texas A&M

Abstract: Gromov’s simplicial volume vanishing conjecture predict that if a closed oriented manifold admits a positive scalar curvature metric, then its simplicial volume vanishes. In this talk, we present a proof of this conjecture under a spin condition. Our proof is based on a quantitative refinement of the Connes-Moscovici higher index theorem. This is joint work with Jinmin Wang, Zhizhang Xie, Guoliang Yu, and Bo Zhu.