Yuri Alexandrovich Neretin

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Yuri Alexandrowitsch Neretin ( Russian Юрий Александрович Неретин , English transcription Yurii Neretin ; born July 2, 1959 in Moscow ) is a Russian mathematician.

Neretin studied mathematics from 1975 at the Lomonossow University , from which he graduated in 1980 and received his doctorate in 1984 under Alexander Alexandrowitsch Kirillow (dissertation (Russian): Unitary representations of the highest weight of Virasoro algebra). From 1983 he was assistant professor, 1989 associate professor and 1992 professor at the Moscow State Institute of Electronics and Mathematics (MIEM), which he was until 2001. At the same time he taught at the Independent University of Moscow from 1991 to 2001. In 1992 he completed his habilitation (Russian doctorate) at the Steklow Institute (on representations of the Riemann surfaces category). In 1995/96 he was at the Max Planck Institute for Mathematics and from 2001 he was at the Erwin Schrödinger Institute for Mathematical Physics in Vienna. He has been at the University of Vienna since 2003.

He deals with infinite-dimensional groups and their representation theory , symmetrical spaces , harmonic analysis , special functions, linear operators and mathematical physics and stochastic processes.

In 1992 he was invited speaker at the European Congress of Mathematicians in Paris (Mantles, trains and representations of infinite dimensional groups). In 1989 he received the Moscow Mathematical Society Prize (for work on representation theory of the circle's diffeomorphism group ).

He is married and has three children.

Fonts (selection)

  • Categories of symmetries and infinite-dimensional groups, London Mathematical Society Monographs (New Series) 16, Oxford, Clarendon Press, 1996.
  • Lectures on Gaussian integral operators and classical groups. EMS Series of Lectures in Mathematics. European Mathematical Society (EMS), Zurich, 2011
  • Representation theory and noncommutative harmonic analysis. I, Encyclopedia of Mathematical Sciences 22, Springer 1994, pp. 157-234;
  • Almost invariant structures and constructions of unitary representations of the group of diffeomorphisms of the circle., Soviet Math. Dokl., Volume 35, 1987, pp. 500-504.
  • Holomorphic continuations of representations of the group of diffeomorphisms of the circle, Mat. Sb., Volume 180, 1989, pp. 635-657, 720.
  • Plancherel formula for Berezin deformation of on Riemannian symmetric space. 1999, Arxiv
  • Editor with M., Olshanetsky, A. Rosly: Moscow seminar in mathematical physics. II. American Mathematical Society, 2007

Web links

Individual evidence

  1. Referred to as Associated Professor in his English curriculum vitae