Statistics of integral points on conics

Carlo Pagano (U of Glasgow)

Sep 20. 2021, 09:30 — 10:30

In this talk I will focus on statistics of solvability of conics over the integers and statistics of failure of weak approximation for the solution set. I will discuss recent joint work with Peter Koymans where we established Stevenhagen´s conjecture on the solvability of the negative Pell equation, and joint work in progress with Alex Bartel where we studied the statistics of the reduction modulo a fixed integer of unit groups of varying real quadratic number fields. 

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Arithmetic Statistics and Local-Global Principles (Workshop)
Tim Browning (ISTA, Klosterneuburg)
Daniel Loughran (U Bath)
Rachel Newton (KCL, London)