This collection consists of lectures delivered at the First Siberian Winter School, "Algebra and Analysis", held in March 1987 at a retreat near Kemerovo. The school was organized by Kemerovo State University and the Institute of Mathematics of the Siberian Branch of the Academy of Sciences of the USSR. The conference drew more than one hundred participants from Novosibirsk, Kemerovo, Omsk, Moscow, Leningrad, and other Soviet cities. The aim of the school was to organize a system of contacts between algebraists and those working in analysis, in the broad sense of the term. The lectures acquainted the participants with current research in algebra and areas at the interface of algebra and analysis.
Table of contents:
A M Vershik, Local stationary algebras; E B Vinberg, The volume of polyhedra on a sphere and in Lobachevsky space; S G Gindikin, Integral geometry on symmetric manifolds; E I Zel'manov, Superalgebras and identities; B I Zil'ber, Algebraic geometry and combinatorics: the model-theoretic point of view; Yu S Il'yashenko, Finiteness theorems for limit cycles; A R Kemer, Identities of associative algebras; G A Marguilis, Lie groups and ergodic theory; A L Onishchik, Lie superalgebras of vector fields; V L Popov, Invariant theory.
This collection consists of lectures delivered at the First Siberian Winter School, "Algebra and Analysis", held in March 1987 at a retreat near Kemerovo. The school was organized by Kemerovo State University and the Institute of Mathematics of the Siberian Branch of the Academy of Sciences of the USSR. The conference drew more than one hundred participants from Novosibirsk, Kemerovo, Omsk, Moscow, Leningrad, and other Soviet cities. The aim of the school was to organize a system of contacts between algebraists and those working in analysis, in the broad sense of the term. The lectures acquainted the participants with current research in algebra and areas at the interface of algebra and analysis.
Table of contents:
A M Vershik, Local stationary algebras; E B Vinberg, The volume of polyhedra on a sphere and in Lobachevsky space; S G Gindikin, Integral geometry on symmetric manifolds; E I Zel'manov, Superalgebras and identities; B I Zil'ber, Algebraic geometry and combinatorics: the model-theoretic point of view; Yu S Il'yashenko, Finiteness theorems for limit cycles; A R Kemer, Identities of associative algebras; G A Marguilis, Lie groups and ergodic theory; A L Onishchik, Lie superalgebras of vector fields; V L Popov, Invariant theory.
This collection consists of lectures delivered at the First Siberian Winter School, "Algebra and Analysis", held in March 1987 at a retreat near Kemerovo. The school was organized by Kemerovo State University and the Institute of Mathematics of the Siberian Branch of the Academy of Sciences of the USSR. The conference drew more than one hundred participants from Novosibirsk, Kemerovo, Omsk, Moscow, Leningrad, and other Soviet cities. The aim of the school was to organize a system of contacts between algebraists and those working in analysis, in the broad sense of the term. The lectures acquainted the participants with current research in algebra and areas at the interface of algebra and analysis.