摘要： Khintchine's theorem is one of the most famous results in Diophantine approximation. It describes the size of the set of well approximable numbers in term of naturally occuring volume sums. In a recent paper I conjectured that an analogue of this theorem holds within the setting of expansions in non-integer bases. In this talk I will discuss some recent progress towards a proof of this conjecture, and state some bases for which the conjecture is known to hold.
个人简介：Simon Peter Baker于2014年7月在英国Manchester大学数学系获得理学博士学位，现在英国University of Reading数学系工作，他在beta展式的研究中做出了许多很好的研究工作，是一个极其有潜力的年轻学者。