This book, the second in the series of proceedings of Soviet Regional Conferences, contains papers presented at the Second Siberian Winter School: Algebra and Analysis, held at Tomsk State University in 1989. The papers touch on a variety of topics, including Lie algebras and Lie groups, sheaves, superalgebras, graded Lie algebras, Teichmüller theory, nonstandard functional analysis, hyperbolic geometry, $p$-adic $L$-functions, automorphic forms, and resolution of singularities.

Readership

Research mathematicians.

Table of Contents

• A. V. Alekseevskiĭ -- On gradings of simple Lie algebras connected with groups generated by transvections
• A. B. Verevkin -- On a noncommutative analogue of the category of coherent sheaves on a projective scheme
• I. L. Kantor -- Jordan and Lie superalgebras determined by a Poisson algebra
• S. L. Krushkal' -- New methods and trends in geometric function theory
• A. G. Kusraev and S. S. Kutateladze -- Nonstandard methods in geometric functional analysis
• A. D. Mednykh -- Automorphism groups of three-dimensional hyperbolic manifolds
• A. A. Panchishkin -- Automorphic forms, $L$-functions, and $p$-adic analysis
• S. I. Trifonov -- Resolution of singularities in one-parameter analytic families of differential equations