Dr. Carlo Pagano
This event is free
Department of Mathematics and Statistics
J.W. McConnell Building
1400 De Maisonneuve Blvd. W.
Room LB 921-04
Solvability of conics over the integers
In this talk I will put in context a recent joint work with Peter Koymans, settling a conjecture of Peter Stevenhagen predicting an asymptotic formula for how often the so-called negative Pell equation is solvable over the integers . The talk is aimed for the general mathematical audience. Hence, after stating the main result, in the first half of the talk I will introduce the audience to the obstructions to solve conics (2-variable quadratic equations) over the integers and the rational numbers. In the second half I will give an overview of the proof and its possible applications to other problems.
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