报告人：Dzmitry Badziahin副教授  The University of Sydney  

报告题目:  Cantor-winning sets, their properties and applications

报告摘要：In this talk we will discuss Cantor-winning sets which can be defined in complete metric spaces. They share several remarkable "winning-properties:
1) They have maximal possible Hausdorff dimension.
2) Intersection of countable many Cantor-winning sets is Cantor-winning and therefore is nonempty.
3) An image of Cantor-winning set under any bi-Lipschitz map is Cantor-winning.
Cantor-winning sets are particularly important because quite often they appear in Diophantine approximation (e.g. generalised badly approximable sets) as well as in some related areas.
We will talk about various properties of Cantor-winning sets and provide several important examples from Diophantine approximation and symbolic systems.

报告时间：2017年7月11日(星期二)上午8：30-9：15

报告地点: 科技楼南楼602室