List of section talks.

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SECTION TALKS

ALGEBRAIC GROUPS AND REPRESENTATIONS

( Chairmen: C. Procesi, C.De Concini )

September 18

1.

W. Holubowski, Net conditions in groups and algebras of matrices

2.

M. Eliseev, On the j-structure on the finite orthogonal groups in even characteristic

3.

M. Mitrofanov, Fine Bruhat decomposition in GL_n

September 19

1.

S. A. Pichtilkov, On locally nilpotent radical of the special Lie algebras

2.

A. Stepanov, Non standard subgroups between GL_n(R) and GL_n(A)

3.

N. Semenov, The Weyl groups as Hurwitz groups

September 20

1.

O.Мulyar, The automorphisms and derivations of exceptional Lie algebras

1.

of series R

2.

N. Chebochko, Cohomology of classical Lie algebras of characteristic 2

3.

A.N. Panov , Quantum solvable algebras

4.

V. Petrov, H^1 of the unitary group.

5.

V. Petrov, Overgroups of the symplectic group in the general linear group

ALGEBRAIC NUMBER THEORY

( Chairmen: H. J. Bartels, S. Vostokov, D.M. Malinin )

September 18

1.

R. Aleev, Unit groups of residue rings of abelian fields

2.

T. Beliaeva, An explicit formulae for Hilbert in multidimentional local field

3.

M. Kudriavtsev, On number of solutions of a special system of polynomial

1.

congruences

4.

Yu Baulina, On the number of solutions of the equation x1m+...xnm=ax1...xn

5.

G.G. Elder, Galois structure of ideals in local wildly ramified extensions

September 19

1.

H. - J. Bartels , D.Malinin, Finite Galois stable subgroups of GL_n, I

2.

A. Zinoviev, Generalized Artin-Hasse and Iwasawa formulae

3.

S. Popov, Algebraic tori over local fields

4.

G.V.Voskresenskaya, Modular forms and group representations

September 20

1.

G. Gusev, On isometry method in locally compact non-Archemedean fields

1.

and its applications

2.

A.M. Vodolazov, Integral model of a split torus of infinite type

GROUP THEORY

( Chairmen: V. Mazurov )

September 19

1.

N.T.Vorob’ev, On Hartley’s method in the theory of finite soluble groups

2.

O.Bogopolsky, An analogue of a theorem of Magnus for fundamental groups of surfaces

3.

S.A.Zubin, Conjugacy dense subgroups of linear groups

4.

J.Siemons, Regular subgroups of permutation groups

5.

V.Bovdi, Group algebras whose unit groups are nilpotent

6.

V.I.Mysovskikh, Recent progress in the theory of intermediate subgroups

7.

R.V.Mikhailov, On homological localization in groups

September 20

1.

A.S. Tsurkov, Geometrical equivalence of the nilpotent groups

2.

O. Macedonska, Positive laws in groups

3.

E.L. Bashkirov, Irreducible linear groups of degree 3 over a quaternion division ring.

4.

C. Franchi, Sharp permutation groups

5.

A. Previtali, Carter sugroups of some classical groups

6.

A.N. Krasilnikov, On certain non-finitely based variety of groups

7.

V.G. Safonov, Local formations with nilpotent defect 3

8.

N. N. Vorob’ev, On complete lattices of locally normal Fitting classes

GENERAL AND ALGORITHMIC ALGEBRA

( Chairmen: J. Ponizovski, V. Zakharov )

Septembeer 18

1.

B.I. Plotkin, Automorphisms of Categories of free Algebras

2.

A.Gasparyan, Generalized Crassmann Algebras and miltidimensional determinants

3.

P.V. Andreev, E.I. Bunina, V.K. Zakharov, A.V. Mikhalev, Foundations of category theory in the frame of a local set theory

4.

G.M. Polotovsky, Recent progress in the topology of real decomposable algebraic curves

5.

M.A. Guschin,Classification of some type of decomposable real algebraic curves of degree 7.

September19

1.

A.A. Borisov, Commutative semigroups all of whose proper subsemigroups are rigid

2.

P.Csorgo, On loops and groups

September 20

1.

B.I. Plotkin, Automorphisms of Categories of Free Algebras

2.

G.I. Mashevitsky, Automorphisms of Category of Free Lie Algebras

RINGS AND MODULES

( Chairmen: L. Bokut, A.Facchini, F. Van Oystaeyen, A. Yakovlev )

September 18

1.

N.Iyudu, On Serre’s problem for RIT-algebras

2.

G.Garkusha, Injective objects in triangulated categories

3.

A.Nechaev, Linear codes and multilinear recurrences over finite rings and modules

4.

N.Kosmatov, Cohomology of dihedral algebras: automatic calculation

5.

S.A. Shkarin, Modules over the algebra of real-analytic functions and solvability of infinite systems of linear differential equations.

September 19

.

1.

G.G.Pestov, N.Yu.Galanova, On archimedian closures of ordered fields

2.

N.Yu.Galanova, On symmetric sections in some fields of formal power series

3.

I.Balaba, A graded version of Posner's theorem

4.

A.V.Tsarev, The module of pseudo-rational fractions of an abelian group

5.

E.B.Aladova, Identities in nil-algebras over a field of characteristic 3

6.

E.Kireeva, Some extremal varieties of assotiative algebras

7.

I.M.Zilberbord, Purities and pure injective modules over serial right noetherian rings

September 20

RINGS AND MODULES-1

1.

1. E. Blagoveshchenskaya, Classification and endomorphism rings of almost completely decomposable groups of some class

2.

N.Yu. Kossovskaya, Yoneda algebra of the Liu-Schulz example

3.

B.B.Lurje, Criteria of non-solvability of an irreducible equation of prime degree in radicals

4.

4.M.V.Volkov, G.Tanana, On the sums of radical and regular rings

5.

V.V.Pavlovski, On the growth of codimensions of identities

6.

I.I.Sakhaev, Hypothesis of Koethe and some related problems have negative solutions

RINGS AND MODULES-2

1.

A.A. Bovdi, On the conjugacy class of group algebra of finite p-group

2.

W. Rump, Ladder functors and finite AR-quivers

3.

Z.Patay, A. Szakacs, On Fermat’s problem in matrix rings and groups

4.

Rashkova, The role Bergman's theorem in the study of identities of matrix

1.

algebras with symplectic involution

5.

G.I.Gusev, On isometry method in locally compact non-archimedean fields and its applications

6.

S.Estrada-Dominguez, Approximations of quasi-coherent sheaves

RINGS AND MODULES-3

1.

A.M. Sebeldin, Determination of an abelian P-groups by its automorphism group in the class of all periodic abelian groups

2.

S. Ya. Grinshpon, Some properities of the lattice of fully invariant subgroups of abelian groups

3.

E. Blagoveshchenskaya, Classification of almost completely decomposable groups of some class

4.

A.V. Tsarev, Abelian groups of pseudo-rational rank 1

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