School of Mathematics Seminars and Lectures
Mobius Randomness and Horocycle Dynamics
by Prof. Peter Sarnak (Princeton University and Institute for Advanced Study, USA)
Wednesday, May 23, 2012
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-66 )
at Colaba Campus ( AG-66 )
Description |
The Mobius function mu(n) is minus one to the number of distinct prime factors of n if n has no square factors and zero otherwise. Understanding the randomness (often referred to as the `Mobius randomness principle' in this function is a fundamental and very difficult problem. We will explain a precise dynamical formulation of the randomness and report on recent advances establishing it. In particular the disjointness of the resulting Mobius Flow from horocycle flows and related horocycle dynamics at ``prime times''. |