Conference on Algebraic Cycles: II Progress and Prospects, Spring 2008

Ohio State University Research Foundation -Do Not Use, Columbus OH

Investigators

Abstract

Abstract Principal Investigator: Joshua, Roy Proposal Number: DMS - 0754330 Institution: The Ohio State University Title: Conference on Algebraic Cycles II: Progress and Prospects Organizers: Reza Akhtar (Miami University), Patrick Brosnan (University of British Columbia) and Roy Joshua (The Ohio State University). This conference will bring together many of the world?s leading mathematicians to survey current developments, report on recent progress, and anticipate future developments in the field of algebraic cycles. The conference will also explore connections with arithmetic geometry and mathematical physics/non-commutative geometry. Progress in algebraic cycles, with related results in algebraic K-theory, has been dramatic in recent years. The principal contributors to motivic cohomology which underlies this progress, Bloch, Lichtenbaum, Levine, Nori and Friedlander have agreed to participate. Related investigations include the work of Totaro, Weibel and Esnault all of whom have agreed to participate. Developments in arithmetic geometry closely related to algebraic cycles involve the work of Colliot-Thelene and Huber who will also participate in this conference. The connections between algebraic cycles and mathematical physics/non-commutative geometry have begun to be explored in recent years. Some of the main players in this emerging field are Bloch, Esnault and Kreimer: in addition to Bloch and Esnault, Kreimer also will participate in this conference. The venue of this conference is The Ohio State University, Columbus, Ohio, from Monday, March 24 through Saturday, March 29, 2008. The conference plans to support participation by a number of young people, at both the post-doctoral and advanced graduate student level, so that it will serve to stimulate increased interest and participation in these exciting mathematical topics.