David Vogan
David Alexander Vogan (born September 8, 1954 in Mercer , Pennsylvania ) is an American mathematician who deals with representations of Lie groups .
Life
Vogan grew up in Belfonte (Pennsylvania) , studied at the University of Chicago with Paul Sally with a bachelor's degree in 1974, where he already turned to representation theory, and received his doctorate in 1976 with Bertram Kostant at the Massachusetts Institute of Technology ( Lie Algebra Cohomology and the Representations of Semisimple Lie Groups ). There he was an instructor for a year before spending two years at the Institute for Advanced Study , where he met Gregg Zuckerman and Armand Borel , among others . He then became a professor at MIT. In 1983 he became a research fellow of the Alfred P. Sloan Foundation ( Sloan Research Fellow ). From 1999 to 2004 he was head of the Faculty of Mathematics at MIT.
Vogan deals with the representation theory of Lie groups, also in connection with the Langlands program . He was one of the mathematicians who, as part of the Atlas of Lie Groups and Representations, worked over four years to determine the characters of the simple Lie group E8, the largest (dimension 248) of the exceptional Lie groups, which is also used in some GUTs and in string theory . The computer expression of these characters (coefficients of certain polynomials, the Lusztig-Vogan polynomials, in a matrix) would cover 49 square miles and be 60 gigabytes . The group was headed by Jeffrey Adams , with much of the programming being done by the French mathematician Fokko du Cloux (1954-2006) from the University of Claude Bernard in Lyon .
In 1986 he gave a plenary lecture at the ICM in Berkeley ( Representations of reductive Lie groups ) and in the same year gave the Hermann Weyl Memorial Lectures at the Institute for Advanced Study . He has been a member of the American Academy of Arts and Sciences since 1996 and the National Academy of Sciences since 2013 . In 2011 he received the Levi L. Conant Prize for 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 a passionate mountain hiker.
Fonts
- Unitary Representations of Reductive Lie Groups. Princeton University Press, 1987
- with 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 and Dan Barbasch (Eds.): The Langlands Classification and Irreducible Characters for Real Reductive Groups. Birkhäuser, 1992
- The Character Table of E8 . (PDF) In: Notices of the AMS. No. 9, 2007
- with Joseph Wolf and Juan Tirao (eds.): 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
Web links
- Homepage
- Article about Vogan in the 2007 Boston Globe
- Vogan to calculate the E8 characters
- To receive the Conant Prize (PDF)
- Interview with Geordie Williamson. (PDF) Homepage of Williamson at the MPI
References
- ↑ David Vogan in the Mathematics Genealogy Project (English)
- ↑ he died of ALS
- ↑ Online
| personal data | |
|---|---|
| SURNAME | Vogan, David |
| ALTERNATIVE NAMES | Vogan, David Alexander (full name) |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | September 8, 1954 |
| PLACE OF BIRTH | Mercer , Pennsylvania |