Conference: Motives and Periods
Andreas Rosenschon Principal Investigator
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Motives were introduced by Grothendieck in an attempt to unify<br/>cohomology theories and to reformulate the Weil conjectures. As<br/>with other great mathematical ideas, it turned out there are many<br/>other reasons for studying motives. The most spectacular recent<br/>success of the idea of motives was Voevodsky's proof of the Milnor<br/>conjecture for which he received the Fields medal in 2002. There<br/>have been several other important applications of motives to problems<br/>in algebraic geometry and, as a language, the theory has a much<br/>broader impact reaching into algebraic number theory and representation<br/>theory via the Langland's program. Furthermore, recent developments<br/>indicate connections between motives, periods, and physics. The<br/>proposed conference intends to bring together researchers from<br/>different areas that use motives. To our knowledge, this is the<br/>first conference of this kind.<br/><br/><br/>The theory of motives provides a framework that has proved to be a<br/>fundamental tool in clarifying and explaining some of the most<br/>difficult unsolved problems in algebraic geometry and mathematical<br/>physics. In recent years there has been dramatic progress in this<br/>direction and motives have evolved from a largely conjectural theory<br/>to a theory that is concrete enough to provide a tool for answering<br/>problems. The proposed conference intends to have leading experts<br/>speak on their various areas of research emphasizing the connections<br/>between different fields. The immense progress in the study of motives<br/>and the many interactions of this theory with other branches of<br/>mathematics has led to a certain degree of inaccessibility, especially<br/>for graduate students and non-specialists. We intend to bridge these<br/>gaps by having a number of distinguished speakers give survey talks<br/>on different subjects. Last not least, we are planning to provide<br/>opportunities for young researchers to present their results.