Number Theory Seminar
Damaris Schindler
University of Göttingen
Density of rational points near certain manifolds
Abstract: In this talk I will discuss joint work with Shuntaro Yamagishi where we
establish an asymptotic formula for the number of rational points, with
bounded denominators, within a given distance to a compact submanifold M
of R^n. We show that under certain curvature conditions we obtain
stronger results for manifolds in higher codimension than for
hypersurfaces, and discuss relations to Serre's dimension growth
conjecture.
Join Zoom Meeting
https://uic.zoom.us/j/88173268700?pwd=aEhmTGpSOVhidWE4L1VWUnNhNVlvUT09
Meeting ID: 881 7326 8700
Passcode: 0t198j41
Friday February 4, 2022 at 1:00 PM in Zoom