David Vogan

David Vogan Alexander ( born September 8, 1954 in Mercer, Pennsylvania) is an American mathematician who deals with representations of Lie groups.

Vogan grew up in Belfonte (Pennsylvania), graduated from the University of Chicago ( with Paul Sally, bachelor's degree in 1974 ) and his doctorate in 1976 at Bertram Kostant at the Massachusetts Institute of Technology (Lie Algebra Cohomology and the Representations of semi- simple Lie groups). He is a professor today. 1999 to 2004 he stood in front of the Faculty of Mathematics.

Vogan deals with the representation theory of Lie groups, also related to the Langlands program. He was one of the mathematicians who in four years of work, the characters of the simple Lie group E8 given in the context of the Atlas of Lie Groups and Representations, the largest ( dimension 248 ) of the exceptional Lie groups, which also has applications in some GUTs and in string theory. The computer printout of these characters (coefficients of certain polynomials, the Lusztig - Vogan polynomials in a matrix) would cover 49 square miles and includes 60 gigabytes. The management of the group had Jeffrey Adams, with much of the programming of the French mathematician Fokko you Cloux (1954-2006) was done by the University Claude Bernard in Lyon.

In 1986 he gave a plenary lecture at the ICM, Berkeley ( Representations of reductive Lie groups) and held in the same year, the Memorial Hermann Weyl Lectures at the Institute for Advanced Study. He is a member of the American Academy of Arts and Sciences. In 2011 he was awarded the Levi L. Conant Prize - The Character Table of E8 ( Notices AMS, 2007, No. 9). He is a Fellow of the American Mathematical Society.

He is married and has a son and a daughter. He is an avid hiker.

Writings

  • Unitary Representations of Reductive Lie Groups. Princeton University Press, 1987
  • Anthony W. Knapp: Cohomological Induction and Unitary Representations. Princeton University Press, 1995
  • Representations of real reductive Lie groups. Birkhäuser, 1981
  • With Jeffrey Adams ( ed.): Representation Theory of Lie Groups. American Mathematical Society, 2000
  • With Jeffrey Adams & Dan Barbasch (ed.): The Langlands Classification and Irreducible Characters for Real Reductive Groups. Birkhäuser, 1992
  • The Character Table of E8. In: Notices of the AMS. No. 9, 2007 (PDF)
  • Joseph Wolf & Juan Tirao (ed.): Geometry and representation theory of real and p- adic groups. Birkhäuser, 1998
  • With Paul Sally (ed.): Representation theory and harmonic analysis on semisimple Lie groups. American Mathematical Society, 1989
Group representation Berkeley, California Amyotrophic lateral sclerosis Carl Pomerance Nick Katz Peter Sarnak Terence Tao Ronald Solomon Jeffrey Weeks (mathematician) Avi Wigderson John Morgan (mathematician) John C. Baez Integrated Authority File
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