Groups of points on abelian and Jacobian varieties over finite fields. Please note the unusual time!
Borys Kadets (HUJI)
Wednesday, November 20, 2024, 15:10 – 16:10, -101
Please Note the Unusual Time!
Abstract:
I will describe various results, some old and some new, on the structure of the groups of points of an abelian variety over a finite field. The talk will focus on the case of varieties of large dimension over a fixed finite field. In this regime, the Weil bounds allow for the possibility of the exponent of the group staying bounded as the dimension grows. I will explain that at least in the case of Jacobians this cannot be the case. Part of the talk is based on recent joint work with Daniel Keliher.