KIAS Topology Seminar


The KIAS Topology seminar is one of the regular group seminars at Korea Institute for Advanced Study (KIAS). The goal is to invite researchers working on topology to give seminar talks and share their expertise. The topics include low-dimensional topology, symplectic and contact topology, algebraic topology, toric topology, Homotopy Algebra, DG Geometry, Poisson Geometry, algebraic K-theory, topological quantum field theory, category theory, algebraic geometry, and any other related subjects. For more information about the seminar, contact the webmaster.

The Organizers: Dongwook Choa, Hakho Choi, Joontae Kim, Seongchan Kim, and Jongbaek Song.

Schedule, Year 2022

  • 09 February 2022 14:00--16:00, Online (Zoom link, Zoom Meeting ID: 854 4475 8975, Passcode: 172671)
    Cheeger-Gromov rho-invariant and Cha inequality
    Geunho Lim (University of California, Santa Barbara, USA)
    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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