Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Peter Koymans
Affiliation:

MPIM
Date:

Wed, 2020-09-16 14:30 - 15:30 Zoom Online Meeting ID: 919 6497 4060

For password see the email or contact Pieter Moree (moree@mpim...).

The equation $C_d: x2 - dy 2 = -1$ is known as the negative Pell equation. It is an outstanding problem to give an asymptotic for the number of squarefree integers $d$ for which $C_d$ is soluble in integers $x$ and $y$. In this talk I will discuss some recent progress towards this problem. Parts of this talk are joint work with Stephanie Chan, Djorjdo Milovic and Carlo Pagano.

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/246