Thursday 07 Mar 2019: NT Seminar: p-adic Tate conjectures
Oli Gregory - Technische Universitat Munchen
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.