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Symmetry, Spaces and Undecidability - Martin Bridson

Series
The Secrets of Mathematics
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The understanding of the possible geometries in dimension 3 is one of the triumphs of 20th century mathematics. In this talk Martin Bridson explains why such an understanding is impossible in higher dimensions.
When one wants to describe the symmetries of any object or system, in mathematics or everyday life, the right language to use is group theory. How might one go about understanding the universe of all groups and what kinds of novel geometry might emerge as we explore this universe?

Martin Bridson became Head of the Mathematical Institute on 01 October 2015. To mark the occasion he gave this Inaugural Chairman's Public Lecture.

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Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK: England & Wales; http://creativecommons.org/licenses/by-nc-sa/2.0/uk/
Transcript Available

Episode Information

Series
The Secrets of Mathematics
People
Martin Bridson
Keywords
geometry
symmetry
dimensions
group theory
undecidability
Department: Mathematical Institute
Date Added: 07/12/2015
Duration: 01:01:38

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