DSNT Seminar: Counting Rational Points near Manifolds

  • Date: –14:55
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 , Å64119
  • Lecturer: Rajula Srivastava (University of Bonn and Max Planck Institute for Mathematics)
  • Organiser: Matematiska institutionen
  • Contact person: Reza Mohammadpour
  • Seminarium

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).