Surveys in contemporary mathematics / edited by Nicholas Young and Yemon Choi.

Format:

Book

Contributor:

Young, Nicholas.

Choi, Yemon.

Series:

London Mathematical Society lecture note series ; 347.

London Mathematical Society lecture note series ; 347

Language:

English

Subjects (All):

Combinatorial geometry.

Geometry, Algebraic.

Topology.

Physical Description:

vii, 361 pages : illustrations ; 23 cm.

Place of Publication:

Cambridge, [U.K.] ; New York : Cambridge University Press, 2008.

Summary:

Young scientists in Russia are continuing the outstanding tradition of Russian mathematics in their home country, in spite of the post-Soviet diaspora. This volume, the second of two, showcases the recent achievements of young Russian mathematicians, and the strong research groups they are associated with. The first volume focused on geometry and number theory; this one concentrates on combinatorial and algebraic geometry and topology.

The articles are mainly surveys of the recent work of the research groups and contain a substantial number of new results. Topics covered include algebraic geometry over Lie groups, cohomology of face rings, the Borsuk partition problem, embedding and knotting of manifolds in Euclidean spaces, and Maxwellian and Boltzmann distributions. The authors are A. E. Guterman, I. V. Kazachkov, A. V. Malyutin, D. V. Osipov, T. E. Panov, A. M. Raigorodskii, A. B. Skopenkov and V. V. Ten.

Contents:

Rank and determinant functions for matrices over semirings / A. E. Guterman 1

Algebraic geometry over Lie algebras / I. V. Kazachkov 34

Destabilization of closed braids / A. V. Malyutin 82

n-dimensional local fields and adeles on n-dimensional schemes / D. V. Osipov 131

Cohomology of face rings, and torus actions / T. E. Panov 165

Three lectures on the Borsuk partition problem / A. M. Raigorodskii 202

Embedding and knotting of manifolds in Euclidean spaces / A. B. Skopenkov 248

On Maxwellian and Boltzmann distributions / V. V. Ten 343.

Notes:

Includes bibliographical references.

ISBN:

0521705649

9780521705646

OCLC:

180880425