Loeffler, D;
Zerbes, SL;
(2017)
Euler systems with local conditions.
In:
Proceedings of the Iwasawa 2017.
The University of Tokyo: Tokyo, Japan.
(In press).
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Abstract
Euler systems are certain compatible families of cohomology classes, which play a key role in studying the arithmetic of Galois representations. We briefly survey the known Euler systems, and recall a standard conjecture of Perrin-Riou predicting what kind of Euler system one should expect for a general Galois representation. Surprisingly, several recent constructions of Euler systems do not seem to fit the predictions of this conjecture, and we formulate a more general conjecture which explains these extra objects. The novel aspect of our conjecture is that it predicts that there should often be Euler systems of several different ranks associated to a given Galois representation, and we describe how we expect these objects to be related.
| Type: | Proceedings paper |
|---|---|
| Title: | Euler systems with local conditions |
| Event: | Iwasawa 2017 |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | http://www.iwasawa2017.com/ |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10067153 |
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