## Number Theory Seminar

### Wednesday, January 24th, 2018

**Time:** 2:15 p.m. **Place:** Jeffery Hall 319

**Speaker:** François Séguin (Queen's University)

**Title:** Heights of elliptic curves and the elliptic analogue of the two-variable Artin conjecture

**Abstract:** Similar to the way Lang and Trotter adapted Artin's primitive root conjecture in the case of elliptic curves, we consider this natural adaptation for the two-variable Artin Conjecture. In light of our recent results for the two-variable setting, we present similar, unconditional lower bounds for this elliptic analogue.