Galois groups of abelian varieties and exceptional Tate classes
Heilbronn Number Theory Seminar
11th February 2026, 4:00 pm – 5:00 pm
Fry Building, 2.04
The Tate conjecture states the codimension r cycles on a variety can be described in terms the étale cohomology H^{2r}. I will discuss when the Tate conjecture for abelian varieties over finite fields can be proved by intersecting divisors, extending previous results of Dupuy--Kedlaya--Zureick-Brown, Lenstra--Zarhin, Tankeev, and Zarhin.
This is joint work with Santiago Arango-Piñeros and Sameera Vemulapalli.
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