Pure Maths Colloquium: Sophie Stevens
This talk is part of the Pure Maths Colloquium at the University of St Andrews. Check out our upcoming talks at https://theran.lt/pure-colloquium/.
|Where:||Lecture Theatre C|
|When:||Nov 14 2019 @ 16.00||Video:||Not recorded|
|Speaker:||Sophie Stevens University of Bristol|
|Title:||Distinct distances in the plane|
Between any pair of points lying in a plane over any field we can define a distance quantity. If we have a finite number of points, we then have a finite number if distances. The question I would like to talk about is: how many distances must occur between any set of points?
This question was originally asked by Erdös and, up to a logarithmic factor, resolved over the reals by Guth and Katz in 2010; I will discuss how the question can be approached over general fields. This is work joint with B. Murphy and M. Rudnev.