The geometry of the Bing involution

MSI Colloquium, where the school comes together for afternoon tea before one speaker gives an accessible talk on their subject

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Date/time
2 Feb 2023 3:30pm - 2 Feb 2023 4:30pm
person Speaker

Speakers

Mike Freedman, Microsoft
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Description

Abstract:

70 years ago Bing produced a wild involution of the three-sphere bringing a technique “decomposition space theory” to life. This technique was later crucial in the solutions to both the double suspension problem and the 4D Poincare conjecture.  Mike Starbird and I have recently completed a 40 year project to understand the modulus of continuity of Bing’s involution (considered as a conjugacy class –  that is in general coordinates): it is indeed very wild!

Bio:

 

Location

Seminar Room 1.33, Building 145, Science Road, ANU