Damaris Schindler: Density of rational points near manifolds (NTWS 199)
Channel: Number Theory Web Seminar
Date: 2024-02-16

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? 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.

Link to slides: https://drive.google.com/file/d/1cowfpWY5lwdWfaIErxHHcYyjdKS2509B

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date: 
Thursday, February 15, 2024 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)Friday, February 16, 2024 (12am CST, 3am AEDT, 5am NZDT)