Seminar des SFB/TRR 326 GAUS Density of Rational Points Near Manifolds
- Date in the past
- Friday, 17. May 2024, 13:30
- SR A
- Prof. Damaris Schindler, Universität Göttingen
Address
SR A
Organizer
Prof. Judith Ludwig
Event Type
Talk
Given a bounded submanifold M in R^n, how many rational points with common bounded denominator are there in a small thickening of M? Under what conditions can we count them asymptotically as the size of the denominator goes to infinity? I will discuss some recent work in this direction and arithmetic applications such as Serre's dimension growth conjecture as well as applications in Diophantine approximation. For this I'll focus on joint work with Shuntaro Yamagishi, as well as joint work with Rajula Srivastava and Niclas Technau.