Thursday 07 Mar 2019NT Seminar: p-adic Tate conjectures

Oli Gregory - Technische Universitat Munchen

H103 14:30-16:30

I shall explore Tate conjectures for smooth and proper varieties over p-adic fields, especially a conjecture of Raskind which concerns varieties with totally degenerate reduction. After giving some examples, evidence and a reformulation in terms of a variational log-Tate conjecture using p-adic Hodge theory, I will show that Raskind's conjecture can fail even for abelian surfaces. This is joint work with Christian Liedtke.

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