Higher Regulators, Algebraic K-theory, and Zeta Functions of Elliptic Curves

Download or read book Higher Regulators, Algebraic K-theory, and Zeta Functions of Elliptic Curves written by Spencer Bloch and published by American Mathematical Soc.. This book was released on 2000 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the collected Irvine lectures by Spencer Bloch. Delivered in 1978 at the University of California at Irvine, these lectures turned out to be an entry point to several intimately-connected new branches of arithmetic algebraic geometry, such as: regulators and special values of L-functions of algebraic varieties, explicit formulas for them in terms of polylogarithms, the theory of algebraic cycles, and eventually the general theory of mixed motives which unifies and underlies all of the above (and much more).