This ebook is the long-awaited ebook of the recognized Irvine lectures. brought in 1978 on the collage of California at Irvine, those lectures became out to be an access element to a number of intimately-connected new branches of mathematics algebraic geometry, reminiscent of regulators and designated values of L-functions of algebraic types, specific formulation for them by way of polylogarithms, the idea of algebraic cycles, and at last the overall thought of combined factors which unifies and underlies all the above (and a lot more). within the two decades due to the fact that, the significance of Bloch's lectures has no longer reduced. A fortunate workforce of individuals operating within the above components had the great fortune to own a duplicate of outdated typewritten notes of those lectures. Now each person may have their very own reproduction of this vintage paintings.

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