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E-raamat: Surveys in Contemporary Mathematics

Edited by (University of Manitoba, Canada), Edited by (University of Leeds)
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A collection of articles showcasing the achievements of young Russian researchers in combinatorial and algebraic geometry and topology.

Young scientists in Russia are continuing the outstanding tradition of Russian mathematics in their home country, in spite of the post-Soviet diaspora. This collection, the second of two, showcases the recent achievements of young Russian mathematicians and the strong research groups they are associated with. The first collection 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.

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A collection of articles showcasing the achievements of young Russian researchers in combinatorial and algebraic geometry and topology.
Preface vii
Rank and determinant functions for matrices over semirings
1(33)
A. E. Guterman
Algebraic geometry over Lie algebras
34(48)
I. V. Kazachkov
Destabilization of closed braids
82(49)
A. V. Malyutin
n-dimensional local fields and adeles on n-dimensional schemes
131(34)
D. V. Osipov
Cohomology of face rings, and torus actions
165(37)
T. E. Panov
Three lectures on the Borsuk partition problem
202(46)
A. M. Raigorodskii
Embedding and knotting of manifolds in Euclidean spaces
248(95)
A. B. Skopenkov
On Maxwellian and Boltzmann distributions
343
V. V. Ten
Nicholas Young is a Professor in the School of Mathematics at the University of Leeds. Yemon Choi is a Postdoctoral Fellow in the Department of Mathematics at the University of Manitoba.