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Weil Conjectures, Perverse Sheaves and l-adic Fourier Transform
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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".
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Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne's proof of the Weil conjec tures.
Weil's Conjecture for Function Fields
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A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of vario
Zeta and L-Functions of Varieties and Motives
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The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on
The Local Langlands Conjecture for GL(2)
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Authors: Colin J. Bushnell
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The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research program of already 40