University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Iwasawa theory, special values of L-functions, and regulators, I.

Iwasawa theory, special values of L-functions, and regulators, I.

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact INI IT.

KAH - K-theory, algebraic cycles and motivic homotopy theory

I will give a brief introduction to some of the conjectures relating special values of L-functions to regulators of motivic cohomology classes, such as Beilinson's conjecture and the Bloch-Kato conjecture. I will then describe the p-adic 'mirror image' of these conjectures proposed by Perrin-Riou, and how the methods of Iwasawa theory can be used to make substantial progress on these p-adic conjectures. I will illustrate this with the examples of the Riemann zeta function and the L-functions of elliptic curves, and some more
recent developments if time allows.





This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity