Table of contents

Volume 62

Number 6, December 2007

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

MATHEMATICAL LIFE

1043

The present paper is a survey of recent results about Hurwitz curves, their braid monodromy invariants, and their applications to -isotopy and regular homotopy problems. The second part of the survey is devoted to a discussion of the applicability of braid monodromy invariants of branch curves for generic coverings of the projective plane as invariants distinguishing connected components of the moduli space of algebraic surfaces (in the algebraic case) and distinguishing symplectic structures on four-dimensional varieties (in the symplectic case).

1121

This article contains a study of the automorphism group  of an extension of an algebraically closed field, and of smooth linear and semilinear representations of . It is explained how the representation theory of is connected with birational geometry, algebraic cycles, motives, and other geometric questions.

1187

, , , , , , , , , et al