The set of abelian varieties over a given field is naturally partitioned into isogeny classes. If the field is finite, then so is each isogeny class. I'll explain several different ways of thinking about the cardinality of such a class, including a new, explicit product formula recently (developed jointly with Ali Altug, Luis Garcia and Julia Gordon).
The size of an isogeny class
Oct. 30, 2018 1pm (MATH 220)
Grad Algebra/Logic
Jordan Dubeau Set Theory, Model Theory, Group Theory
Oct. 30, 2018 2pm (MATH 220)
Jordan Dubeau Set Theory, Model Theory, Group Theory
Oct. 30, 2018 4pm (MATH 350)
Topology
Katharine Adamyk Homotopy Theoretic K-Homology and the Bott Spectrum
The size of an isogeny class