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David Loeffler (University of Warwick)
Monday 16 March 2020, 15:00-16:00
Iwasawa theory, special values of L-functions, and regulators, I.
â ī¸ Important: KAH - K-theory, algebraic cycles and motivic homotopy theory
- đ¤ Speaker: David Loeffler (University of Warwick)
- đ Date & Time: Monday 16 March 2020, 15:00 - 16:00
- đ Venue: Seminar Room 2, Newton Institute
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Abstract
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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