TL;DR
This paper introduces the concept of motivic L-functions, providing foundational insights into their role in number theory and algebraic geometry, based on a lecture from the IHES summer school.
Contribution
It offers an accessible introduction to motivic L-functions, highlighting their significance and foundational properties in the context of motives.
Findings
L-functions associated with motives are fundamental objects in number theory.
The lecture clarifies the basic properties and conjectural framework of motivic L-functions.
Provides foundational knowledge for further research in motives and L-functions.
Abstract
This is the text of an introductory lecture delivered at the IHES summer school on motives in July, 2006.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Mathematics and Applications