Mathematics in St. Petersburg

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Summary

This volume is dedicated to the 30th anniversary of the founding of the Academic Gymnasium of St. Petersburg University.

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Some memories of boarding school #45
Algebra: The geometrical genus of the moduli space of abelian varieties
On the cohomology groups of the field of rational functions
On topological filtration for Severi-Brauer varieties II
On the norm residue homomorphism for fields
Concerning Hall's theorem
Simplicial determinant maps and the second term of weight filtrations
On common zeros of two quadratic forms
Isogenies of height one and filtrations of formal groups
Homology stability for $H$-unital $Q$-algebras
Geometry and Analysis: Willmore surfaces, 4-particle toda lattice, and double coverings of hyperelliptic surfaces
On the Birkhoff standard form of linear systems of ODE
NC solving of a system of linear ordinary differential equations in several unknowns
Hyperreflexivity of contractions close to isometries
On the definition of the 2-category of 2-knots
Application of topology to some problems in combinatorial geometry
Homology and cohomology of hypersurfaces with quadratic singular points in generic position
Asymptotic solutions to the quantized Knizhnik-Zamolodchikov equation and Bethe vectors
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