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 J. Bloch and published by American Mathematical Soc.. This book was released on 2011 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the long-awaited publication of the famous Irvine lectures. 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).