Graeme Segal

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Graeme Segal (left) with Edward Witten, Edinburgh 2009

Graeme Bryce Segal (born December 21, 1941 in Sydney ) is a British mathematician who deals with topology , mathematical physics and representation theory of groups.

Life

Segal received his PhD in equivariant K-theory with Michael Atiyah at Oxford University in 1967 . He is currently a professor at Oxford. Among other things, he was visiting professor at Columbia University . In 1969/70 he was at the Institute for Advanced Study in Princeton .

Segal is one of the pioneers in the field of elliptical cohomology and developed its own theory of iterated indefinitely loop spaces (infinite loop spaces) and the representation theory associated loop groups . Both theories have applications in topological quantum field theory , for which Michael Atiyah and Segal gave an axiomatic definition, and in string theory .

A conjecture named after him (Segal conjecture or Segal's Burnside Ring conjecture) was proven in 1984 by Gunnar Carlsson .

He is a Fellow of All Souls College, Oxford (and was a Fellow of St Catherine's College after graduation) and has been a Fellow of the Royal Society in London since 1982 . He is a member of the London Mathematical Society .

In 1990 he received the Pólya Prize . In 1970 he was invited speaker at the ICM in Nice (Equivariant stable homotopy theory) and in 1990 in Kyoto (Geometric aspects of Quantum Field Theory). In 2010 he received the New Year's Eve Medal .

Graeme Segal 1982

Fonts

  • Loop Groups (Oxford Mathematical Monographs). New edition Clarendon Press, Oxford 2003, ISBN 0-19-853561-9 (with Andrew Pressley).
  • Lectures on Lie groups and Lie algebras (London Mathematical Society Student texts; Vol. 32). 5th edition Cambridge University Press, Cambridge 2006, ISBN 0-521-49579-2 (with Ian Macdonald and Roger Carter ).

literature

  • Ulrike Tillmann (Ed.): Topology, Geometry and Quantum Field Theory. Proceedings of the 2002 Oxford Symposium in Honor of the 60th Birthday of Graeme Segal (London Mathematical Society Lecture Note Series; 308). Cambridge University Press, Cambridge 2004, ISBN 0-521-54049-6 .

Web links

Individual evidence

  1. ↑ Date of birth according to the Memberbook Institute for Advanced Study
  2. ^ Segal: Configuration spaces and infinite loop spaces. Inventiones Mathematicae, Vol. 21, 1973, p. 213.
personal data
SURNAME Segal, Graeme
ALTERNATIVE NAMES Segal, Graeme Bryce (full name)
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH December 21, 1941
PLACE OF BIRTH Sydney