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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.

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