THE BORSUK-ULAM THEOREM FOR LOCALLY TRIVIAL COMPACT G-SPACES

Speaker(s)

MARIUSZ TOBOLSKI

Affiliation

Uniwersytet Wrocławski

Date

Nov. 4, 2020, 5:15 p.m.

Information about the event

Seminar 2020-11-04 17:15:00

Seminar

North Atlantic Noncommutative Geometry Seminar

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The Borsuk-Ulam-type conjecture of Baum, Dąbrowski, and Hajac states that, given a free action of a non-trivial compact Hausdorff group G on a compact Hausdorff space X, there is no continuous G-equivariant map from the join X*G to X. The goal of this talk is to explain a proof of this conjecture for locally trivial compact G-spaces. This case boils down to the claim that there is no G-equivariant continuous map from the (n+1) join power of G to the n join power of G, which is a slight strengthening of an unpublished result of Bestvina and Edwards. (Based on joint work with Alexandru Chirvasitu and Ludwik Dąbrowski.)

https://www.youtube.com/watch?v=D47bN4Z37ZI

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