Siegel transforms and counting rational approximations on flag varieties
Vortrag von René Pfitscher
Datum: 28.05.25 Zeit: 13.30 - 14.30 Raum: ETH HG F 5
In the divergence case of Khintchine’s theorem, Schmidt established an asymptotic formula for the number of rational approximations of bounded height to almost every real number. Using tools from homogeneous dynamics and the geometry of numbers, we prove a version of this theorem for intrinsic Diophantine approximation on projective quadrics, Grassmannians, and other examples of flag varieties.