TY - BOOK AU - Nagel,Jan AU - Peters,C. TI - Algebraic cycles and motives T2 - London Mathematical Society lecture note series SN - 9781107325968 (ebook) AV - QA564 .A187 2007 U1 - 516.35 22 PY - 2007/// CY - Cambridge PB - Cambridge University Press KW - Algebraic cycles KW - Congresses KW - Motives (Mathematics) N1 - These proceedings contain a selection of papers from the EAGER conference 'Algebraic Cycles and Motives' that was held at the Lorentz Center in Leiden on the occasion of the 75th birthday of Professor J.P. Murre (Aug 30-Sept 3, 2004)"--Preface; Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This book is one of two volumes that provide a self-contained account of the subject as it stands. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using Abel-Jacobi/regulator maps and normal functions; motives (Voevodsky's triangulated category of mixed motives, finite-dimensional motives); the conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups and Bloch's conjecture. Researchers and students in complex algebraic geometry and arithmetic geometry will find much of interest here UR - https://doi.org/10.1017/CBO9781107325968 ER -