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Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
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Weil Conjectures, Perverse Sheaves and -adic Fourier Transform (Paperback, Softcover reprint of hardcover 1st ed. 2001)
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Weil Conjectures, Perverse Sheaves and -adic Fourier Transform (Paperback, Softcover reprint of hardcover 1st ed. 2001)
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 42
Expected to ship within 10 - 15 working days
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The authors describe the important generalization of the original
Weil conjectures, as given by P. Deligne in his fundamental paper
"La conjecture de Weil II." The authors follow the important and
beautiful methods of Laumon and Brylinski which lead to a
simplification of Deligne's theory. Deligne's work is closely
related to the sheaf theoretic theory of perverse sheaves. In this
framework Deligne's results on global weights and his notion of
purity of complexes obtain a satisfactory and final form. Therefore
the authors include the complete theory of middle perverse sheaves.
In this part, the l-adic Fourier transform is introduced as a
technique providing natural and simple proofs. To round things off,
there are three chapters with significant applications of these
theories.
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