Semyon Grigoryevich Gindikin

from Wikipedia, the free encyclopedia

Semjon Grigoryevich Gindikin ( Russian Семён Григорьевич Гиндикин , English transcription Simon Gindikin ; born December 7, 1937 in Moscow ) is a Russian mathematician who deals with differential geometry , representation theory of Lie groups , integral geometry and function theory of several complex variables.

Gindikin 1984

As a student, Gindikin took part in several mathematics Olympiads (and achieved third place) and began his studies in Moscow in 1954 at the Pedagogical Institute (among others with Naum Wilenkin and Pyotr Sergeyevich Novikov ). From 1955 he also attended (unofficially) at Lomonosov University . In 1957 he attended Eugene Dynkin's seminar on differentiable manifolds and Lie groups and later the seminary of Israel Gelfand . He received his doctorate in 1962 under Alexander Letter at the Pedagogical Institute on multi-dimensional integral formulas for symmetrical spaces, the formulas of LK Hua extended. He worked in particular with Ilya Pyatetsky-Shapiro . In 1987 he completed his habilitation (Russian doctorate) at the Leningrad Steklov Institute . In 1988 he was able to travel to the West for the first time at the invitation of Roger Penrose , to a conference in Durham (Gindkin also worked on the Penrose transformation and twistors ). He later became a professor at Rutgers University .

In the 1960s he and Friedrich Karpelewitsch gave a formula for the c-function of Harish-Chandra , which plays a role in the representation theory of semi- simple Lie groups. In the second paper from 1966 they introduced inertwining operators .

Initially, he also dealt with logic (under the influence of Novikov).

He was co-editor of the collected works of Ilya Pyatetsky-Shapiro and Gelfand.

In 1963 he received the Moscow Mathematical Society Prize .

Fonts

  • Tales of mathematicians and physicists , Springer Verlag 2007 (first 1981)
  • with Israel Gelfand, Mark Graev Selected topics in integral geometry , American Mathematical Society 2003
  • Applied problems of Radon transform, American Mathematical Society 1994
  • with Leonid Volevich Distributions and convolution equation , Gordon and Breach 1992
  • with Volevich The method of Newton's polyhedron in the theory of partial differential equations , Kluwer 1992
  • Tube domains and the Cauchy problem , American Mathematical Society 1992
  • Algebraic Logic , Springer 1985
as editor
  • Editor with Gennadi Khenkin: Algebraic aspects of complex analysis, Volume 4 of the Several Complex Variables series of the Encyclopaedia of mathematical sciences in Springer Verlag 1990
  • Editor with other functional analysis on the eve of the 21st century: in honor of the 80th birthday of IM Gelfand , 2 volumes, Birkhäuser 1995
  • Editor: Lie Groups and symmetric spaces: in Memory of FI Karpelevich , American Mathematical Society 2003
  • Editor of Lie groups and Lie algebras: EB Dynkin's seminar , American Mathematical Society 1995
  • Editor: Singularity theory and some problems of functional analysis , American Mathematical Society 1992
  • Editor: Mathematical methods of analysis of biopolymer sequences , American Mathematical Society 1992
  • Editor 75 years of radon transform , Cambridge, International Press 1994 (Proc.Conf. Erwin Schrödinger Institute Vienna 1992)

Web links

Individual evidence

  1. Published in Russian Mathematical Surveys, 19, 1964, 1-89, Analysis in homogeneous domains
  2. ^ Mathematics Genealogy Project
  3. z. B. Gindikin The complex universe of Roger Penrose , Mathematical Intelligencer, Volume 5, 1983, pp. 27-35
  4. Gindikin, Karpelevich Plancherel measure for symmetric Riemannian spaces of non-positive curvature (Russian), Doklady Akad. Nauka SSSR, Volume 145, 1962, 252-255, Gindikin, Karpelevich On an integral associated with Riemannian symmetric spaces of non-positive curvature (Russian), Izv. Akad. Nauka SSSR, Ser. Mat., Vol. 30, 1966, pp. 1147-1156