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Seminar
FIELD Math:Topology
DATE February 15 (Tue), 2022
TIME 14:00-16:00
PLACE Online
SPEAKER Lim, Geunho
HOST Choa, Dongwook
INSTITUTE University of California
TITLE [GS_M_Topo] Cheeger-Gromov rho-invariant and Cha inequality
ABSTRACT In this talk, we will discuss quantitative bounds for Cheeger-Gromov rho-invariants. Cha proved the existence of universal bounds for rho-invariants for topological manifolds and provided explicit linear bounds for 3-manifolds. We give a new result of linear bounds for high dimensional manifolds. A key idea is to construct (4k)-cobordisms pi_1-injectively bounded by (4k-1)-manifolds, using relative hyperbolization. This talk is based on a recent joint work with Shmuel Weinberger.
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