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Geometry-Topology Seminar

Thursday, September 26, 2019 - 4:30pm

Sander Kupers

Harvard University

Location

University of Pennsylvania

DRL 4C8

The simplest manifold is arguably the disk, but the homotopy type of their diffeomorphism groups remains mysterious. I will discuss what is known about them, as well as work-in-progress joint with Oscar Randal-Williams, which has the goal of computing the rational homotopy groups of the group of diffeomorphisms of the 2n-dimensional disk fixing the boundary pointwise for 2n \geq 6