CMI-HIMR Summer School on Rational points on varieties
Date: 26 - 30 July 2027
Location: International Centre for Mathematical Sciences (ICMS), Edinburgh
Event type: CMI HIMR Summer School
Organisers: Alex Bartel (University of Glasgow), Rachel Newton (King’s College London)
Questions about rational points on varieties are among the oldest in mathematics, but also are at the centre of vibrant areas of modern research. Two of the remaining six Clay 1 Million Dollar problems concern points on varieties. In recent years, seemingly entirely unrelated problems, such as counting number fields, have been reformulated as problems about points on geometric objects. Moreover, several widely used cryptographic schemes are based on arithmetic properties of varieties.
The summer school will offer research students a rapid entry into the area by exposing them to some of the major fruitful research directions in arithmetic geometry.
A mixture of lectures and exercise sessions will ensure that students develop intuition for and familiarity with the technical tools that they will be learning. In addition, there will be several guest lectures on topics of current interest that are not covered by the courses.