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Author(s): | Henryk Zoladek | |||
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Publisher: | Birkhäuser | |||
Year: | 2006 | |||
Language: | English | |||
Pages: | 588 pages | |||
Size: | 4.48 MB | |||
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[content title="Description"]In singularity theory and algebraic geometry the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. In the theory of systems of linear differential equations one has the Riemann-Hilbert problem, the Stokes phenomena and the hypergeometric functions with their multidimensional generalizations. In the theory of homomorphic foliations there appear the Ecalle-Voronin-Martinet-Ramis moduli. On the other hand, there is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. All this is presented in this book, underlining the unifying role of the monodromy group.
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[content title="About the author"]Henryk ZOladek, Polish mathematics educator. Recipient award Ministry of National Education, Warsaw, 1989. Member Solidarity Trade Union, 1989. Member Polish Academy of Sciences, Polis Mathematics Society.
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