Titlebook: Algebraic and Geometric Methods in Mathematical Physics; Proceedings of the K Anne Boutet Monvel,Vladimir Marchenko Conference proceedings

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Die Entdeckung der irrationalen Zahlen that rather explicit formulas for the drift can be found, in such a way that oscillatory integrals involving the symbols will control the variation of the spectral projections. Let’s start now to describe the main features of our approach through a model situation.

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Die Faszination der unendlichen Reihenspaces are reviewed. Then, following the basic idea of the reduction theory, the so called “superadiabatic evolution” is written down. In the second part some applications of the general theory are presented: theory of adiabatic invariants for linear Hamiltonian systems and spectral properties of periodic Dirac hamiltonian.

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Algebraic and Geometric Methods in Mathematical PhysicsProceedings of the K

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Geographische Karten und das Unendlichetersection indices on the discretized moduli space of genus . are expressed in terms of the Kontsevich’s indices of the genus . and of the lower genera using stratification procedure. The short review of the recent results in this direction is presented.

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Neue Perspektiven in der Geometriefact that the same space appears in such different frameworks has some fascinating consequences, which have not yet been fully explored. For instance the dimension of this space can be computed by CFT-type methods, while algebraic geometers would have never dreamed of being able to perform such a computation.