Seminar series
Date
Thu, 07 Feb 2019
Time
16:00 -
17:00
Location
L6
Speaker
Sam Chow
Organisation
Oxford University
Gallagher's theorem is a strengthening of the Littlewood conjecture that holds for almost all pairs of real numbers. I'll discuss some recent refinements of Gallagher's theorem, one of which is joint work with Niclas Technau. A key new ingredient is the correspondence between Bohr sets and generalised arithmetic progressions. It is hoped that these are the first steps towards a metric theory of multiplicative diophantine approximation on manifolds.