9780521705646

Surveys in Contemporary Mathematics

by
  • ISBN13:

    9780521705646

  • ISBN10:

    0521705649

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2007-12-10
  • Publisher: Cambridge University Press
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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, cohomological aspects of toric topology, the Borsuk partition problem, and embedding and knotting of manifolds in Euclidean spaces. 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.

Table of Contents

Prefacep. vii
Rank and determinant functions for matrices over semiringsp. 1
Algebraic geometry over Lie algebrasp. 34
Destabilization of closed braidsp. 82
n-dimensional local fields and adeles on n-dimensional schemesp. 131
Cohomology of face rings, and torus actionsp. 165
Three lectures on the Borsuk partition problemp. 202
Embedding and knotting of manifolds in Euclidean spacesp. 248
On Maxwellian and Boltzmann distributionsp. 343
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