Damaris Schindler : Density of rational points near certain manifolds

Posted by Nathan Jones , part of the Number Theory Seminar.

At

Feb. 4, 2022, 1 p.m.

In

Zoom

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