Thursday, June 11, 2026 - 15:00 in V2-210/216
Density of rational points near manifolds
A talk in the Mathematisches Kolloquium series by
Damaris Schindler from Universität Göttingen
| Abstract: |
Given a bounded submanifold M in R^n, how many rational points with common bounded denominator are there in a small thickening of M? How does this counting function behave if we let the size of the denominator go to infinity? The study of the density of rational points near manifolds has seen significant progress in the last couple of years. In this talk I will explain why we might be interested in this question, focusing on applications in Diophantine approximation and the (quantitative) arithmetic of projective varieties.
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