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Reflections on the Hodge Conjecture from a Modern Perspective

Ponente: James D. Lewis
Institución: University of Alberta, Edmonton, Canada
Cuándo 20/10/2014
de 12:00 a 13:00
Dónde Auditorio "Alfonso Nápoles Gándara"
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The Hodge conjecture is at the confluence of three major areas of mathematics, namely, Hodge theory, motivic cohomology, and arithmetic geometry. Hodge never really stated this as a conjecture, but rather an important open problem. Over the past 60 years, little progress has been made on this conjecture. Based on some ideas of A. Beilinson, we present a modern version of this conjecture involving the higher algebraic K-groups, in the hope that this will inspire others to do the same. This talk is aimed at a general audience.