Micheal Pawliuk: Packing Hedgehogs densely into l_2 to give a trivial G-compactification

2 May 2014, 13:30–15:00

Fields institute, Room 210

Speaker: Micheal Pawliuk

Title: Packing Hedgehogs densely into l_2 to give a trivial G-compactification
Abstract: In the early 80s Smirnov asked if every regular G-space admits an equivariant G-compactification. In 1988 Megrelishvili exhibited a G-space that does not (essentially the metrizable hedgehog with a nice group action). His example still leaves open the larger question of if a regular G-space can have a *trivial* G-compactification. In joint work with Pestov and Bartosova, we will give such an example by finding many copies of the metrizable hedgehog inside l_2.

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