DSNT Seminar: Counting Rational Points near Manifolds
- Date
- 1 March 2024, 13:55–14:55
- Location
- Ångström Laboratory, , Å64119
- Type
- Seminar
- Lecturer
- Rajula Srivastava (University of Bonn and Max Planck Institute for Mathematics)
- Organiser
- Matematiska institutionen
- Contact person
- Reza Mohammadpour
Rajula Srivastava (University of Bonn and Max Planck Institute for Mathematics) holds a seminar with the title "Counting Rational Points near Manifolds". Welcome to join!
Abstract: How many rational points with denominator of a given size lie within a certain distance from a compact, "non-degenerate" manifold? This talk is about some recent progress towards answering this question, based on joint work with Damaris Schindler and Niclas Technau. We shall discuss a new way of examining the problem: under a combined lens of harmonic analysis (oscillatory integrals) and homogeneous dynamics (quantitative non-divergence estimates). We shall also talk about applications to problems concerning Hausdorff dimension and measure refinements for the set of well-approximable points on non-degenerate manifolds.
This is a seminar in our seminar series on Dynamical Systems and Number Theory (DSNT).