CORDIS Project
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This project explores the connections between special values of L-functions and Galois cohomology in number theory. It aims to provide evidence for the existence of p-adic L-functions and investigate conjectures related to Iwasawa theory and Hida families, focusing on non-commutative aspects and their applications in a…
One of the most challenging topics in modern number theory is the mysterious relation between special values of L-functions and Galois cohomology: they are the “shadows” in the two completely different worlds of complex and p-adic analysis of one and the same geometric object, viz the space of solutions for a given diophantine equation over the integral numbers, or more generally a motive M.
The main idea of Iwasawa theory is to study manifestations of this principle such as the class number for…
RUPRECHT-KARLS-UNIVERSITAET HEIDELBERG
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