Surveys in Contemporary Mathematics
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.
- Reflects current expertise in the Russian schools of mathematics, on a wide range of topics from classical problems to up-to-the minute research
- Articles are based on lecture courses given at British universities; all contain extensive bibliographies
- Ideal for experienced researchers wanting a quick overview; also, researchers interested in the particular strengths of the Russian schools of mathematics
Product details
November 2007Paperback
9780521705646
370 pages
229 × 154 × 19 mm
0.5kg
44 b/w illus. 5 tables
Available
Table of Contents
- Preface
- 1. Rank and determinant functions for matrices over semi-rings A. E. Guterman
- 2. Algebraic geometry over Lie algebras I. V. Kazachkov
- 3. Destabilization of closed braids A. V. Malyutin
- 4. n-dimensional local fields and adeles on n-dimensional schemes D. V. Osipov
- 5. Cohomology of face rings, and torus actions T. E. Panov
- 6. Three lectures on the Borsuk partition problem A. M. Raigorodskii
- 7. Embedding and knotting of manifolds in Euclidean spaces A. B. Skopenkov
- 8. On Maxwellian and Boltzmann distributions V. V. Ten.