Decomposing Jacobians of Algebraic Curves

Speaker: Professor Gary McGuire (UCD)

Time: 4.00PM

Date: Monday March 3rd 2014

Location: CASL Seminar Room, Block 8, Belfield Office Park

Abstract:

We will explain how a conjecture on exponential sums leads to the consideration of a family of algebraic curves over a finite field. The Jacobians of those curves exhibit interesting behaviour , and their decomposition sheds light on the conjecture.

Series: Algebra & Number Theory Seminar Series