Quasicrystals and Diophantine approximation

by Prof. Alan Haynes (University of York)

Thursday, May 21, 2015 from 16:00 to 17:00 (Asia/Kolkata)
at TIFR, Mumbai ( AG-69 )

Description

In this talk we will begin with a brief history of the
mathematics of aperiodic tilings of Euclidean space, highlighting the
relevance to the theory of quasicrystals. Next we will focus on an
important collection of point sets, cut and project sets, which come from a
dynamical construction and provide us with a mathematical model for
quasicrystals. After giving definitions and examples of these sets, we will
discuss their relationship with Diophantine approximation, and show how the
interplay between these two subjects has recently led to new results in
both of them.