2018
Dec
11

# Demi Allen (Manchester) A mass transference principle for systems of linear forms with applications to Diophantine approximation

2:15pm to 3:15pm

## Location:

Ross 70

Abstract: In Diophantine approximation we are often interested in the Lebesgue and Hausdorff measures of certain $\limsup$ sets. In 2006, Beresnevich and Velani proved a remarkable result --- the Mass Transference Principle --- which allows for the transference of Lebesgue measure theoretic statements to Hausdorff measure theoretic statements for $\limsup$ sets arising from sequences of balls in $\mathbb{R}^k$.