Date:
Tue, 12/10/202114:00-15:00
Location:
Zoom talk - public viewing in Ross 70
Abstract:
In this talk, we will prove the convergence part of Khitchine’s theorem on non-degenerate manifolds. This confirms a conjecture of Kleinbock and Margulis in 1998. Our approach uses geometric and dynamical ideas together with a new technique of `major and minor arcs'. In particular, we establish sharp upper bounds for the number of rational points of bounded height lying near `major arcs' and give explicit exponentially small bounds for the measure of `minor arcs'. This is a joint work with Victor Beresnevich.
Zoom meeting details:
Join Zoom Meeting
Meeting ID: 897 8201 8251
Passcode: 926352
In this talk, we will prove the convergence part of Khitchine’s theorem on non-degenerate manifolds. This confirms a conjecture of Kleinbock and Margulis in 1998. Our approach uses geometric and dynamical ideas together with a new technique of `major and minor arcs'. In particular, we establish sharp upper bounds for the number of rational points of bounded height lying near `major arcs' and give explicit exponentially small bounds for the measure of `minor arcs'. This is a joint work with Victor Beresnevich.
Zoom meeting details:
Join Zoom Meeting
Meeting ID: 897 8201 8251
Passcode: 926352