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Group actions on exotic smoothings of $\mathbb{R}^4$

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Speaker: 
Robert Gompf
Affiliation: 
The University of Texas at Austin
Date: 
Tue, 18/10/2016 - 13:30 - 14:30
Location: 
MPIM Lecture Hall

It has been known for more than three decades that there are uncountably many diffeomorphism types of smoothings on $\mathbb{R}^4$, so in some sense there is a shortage of diffeomorphisms. However, nothing has been known about the self-diffeomorphisms of such a manifold up to smooth isotopy, except that there is only one (preserving orientation) for the standard smoothing. This talk will cover a recent breakthrough in the matter.

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