Shreyasi Datta
University of Michigan, USA
July 21, 2023
Quantitative Simultaneous Approximation: One of the most fascinating problems in number theory is to study rationals that are close to a specific curve, more generally, close to a manifold. Showing that given a nice decaying function, the points on any 'curved' manifold approximated at this function's rate are 'negligible' was a long-standing problem. In recent ground-breaking work (arXiv:2105.13872), Beresnevich and Yang solved this problem. In this talk, we will explain an effective version of their result. This is based on the work https://arxiv.org/abs/2209.14196.
University of Michigan, USA
July 21, 2023
Quantitative Simultaneous Approximation: One of the most fascinating problems in number theory is to study rationals that are close to a specific curve, more generally, close to a manifold. Showing that given a nice decaying function, the points on any 'curved' manifold approximated at this function's rate are 'negligible' was a long-standing problem. In recent ground-breaking work (arXiv:2105.13872), Beresnevich and Yang solved this problem. In this talk, we will explain an effective version of their result. This is based on the work https://arxiv.org/abs/2209.14196.