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Durham University

Research & business

Research lectures, seminars and events

The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but  wish to enquire about attending one of the events please contact the organiser or host department.


 

Arithmetic Study Group: Supersingular abelian varieties with non semisimple Tate module

Presented by Maja Volkov, Universite de Mons
23 January 2018 14:00 in CM 219

We show the existence of abelian varieties over Q_p with good supersingular reduction and non semisimple p-adic Tate module. This result is an application of the characterisation in terms of filtered phi-modules, via p-adic Hodge theory, of the p-adic representations of the absolute Galois group of Q_p coming from abelian schemes. We will show how to obtain varieties having the desired properties for the least possible dimension, namely surfaces. Our constructions easily generalise to higher dimensions.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information