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Department of Mathematical Sciences

Seminars

This week's seminars

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

Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.