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PUBLIC LECTURE: The solution of the Poincare conjecture

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Today's date is Friday, March 29, 2024
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A Public Lecture by Professor J. Hyam Rubinstein, Department of Mathematics & Statistics, University of Melbourne.

The Poincare conjecture was one of the most celebrated questions in mathematics. It was amongst the seven millennium problems of the Clay Institute, for which a prize of $1million was offered.

The Poincare conjecture asked whether a 3-dimensional space with `no holes’ is equivalent to the 3-dimensional sphere.

In 2003 Grigori Perelman posted three papers on the internet ArXiv outlining a marvellous solution to the Poincare conjecture, as part of the completion of Thurston’s geometrisation program for all 3-dimensional spaces. Perelman introduced powerful new techniques into Richard Hamilton’s Ricci flow, which `improves’ the shape of a space. Starting with any shape of a space with no holes, Perelman was able to flow the space until it became round and therefore verified it was a sphere.

A brief history of the Poincare conjecture and Thurston’s revolutionary ideas will be given. Hamilton’s Ricci flow will be illustrated.

Famously, Perelman turned down both the Clay prize and a Field’s medal for his work.

Cost: Free. RSVP to [email protected]
Location Webb Lecture Theatre (G21), Ground Floor, Geography Building, UWA
Contact Institute of Advanced Studies <[email protected]> : 6488 1340
URL http://www.ias.uwa.edu.au/lectures/hyam-rubinstein-lecture
Start Mon, 15 Oct 2012 18:00
End Mon, 15 Oct 2012 19:00
RSVP RSVP is required.
Submitted by Audrey Barton <[email protected]>
Last Updated Wed, 03 Oct 2012 13:30
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