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SUMMARY:Iwasawa theory\, special values of L-functions\, and regulators\, 
 I. - David Loeffler (University of Warwick)
DTSTART:20200316T150000Z
DTEND:20200316T160000Z
UID:TALK141244@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>I will give a brief introduction to some of the conjectu
 res relating special values of L-functions to regulators of motivic cohomo
 logy classes\, such as Beilinson&#39\;s conjecture and the Bloch-Kato conj
 ecture. I will then describe the p-adic &#39\;mirror image&#39\; of these 
 conjectures proposed by Perrin-Riou\, and how the methods of Iwasawa theor
 y 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 th
 e L-functions of elliptic curves\, and some more <br> recent developments 
 if time allows.</span><br><br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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