The Bloch-Kato Conjecture for the Riemann Zeta Function. Dieser Artikel ist nicht verfügbar.The Bloch-Kato Conjecture for the Riemann Zeta Function

A graduate-level account of an important recent result concerning the Riemann zeta function.

John Coates was Sadleirian Professor of Pure Mathematics at the University of Cambridge from 1986 until 2012. Most of his research has focused on the mysterious, and still largely conjectural, connections between special values of L-functions and purely arithmetic questions, largely via the p-adic techniques of Iwasawa theory. Professor Coates was elected a fellow of the Royal Society of London in 1985, and served as President of the London Mathematical Society from 1988 to 1990. He was awarded the Senior Whitehead Prize by the London Mathematical Society in 1997.

A. Raghuram is the Coordinator for Mathematics at the Indian Institute of Science Education and Research (IISER) at Pune. Previously, he was a tenured faculty member of the Department of Mathematics at Oklahoma State University. He has also held various visiting positions at the University of Iowa, Purdue University, and the Max Planck Institute for Mathematics in Germany. Professor Raghuram's research interests concern the arithmetic properties of automorphic forms. He uses analytic methods in the Langlands Program and geometric tools from the cohomology of arithmetic groups to study the special values of L-functions. His research has been supported by the National Science Foundation, USA, and the Alexander von Humboldt Foundation, Germany.

Anupam Saikia is an Associate Professor in the Department of Mathematics at the Indian Institute of Technology Guwahati. Previously, he was a William Hodge Fellow at IHES, France, and a CRM-ISM postdoctoral fellow at McGill University after completing his PhD at DPMMS, University of Cambridge. The main theme of his research is Iwasawa theory of cyclotomic fields, elliptic curves and p-adic measures.