报告题目：

Furstenberg’s conjecture on the intersections of Cantor sets

报 告 人：

Wu Meng （Oulu University）

报告时间：

2018年06月12日 10:00--11:00

报告地点：

数学院二楼报告厅

报告摘要：

Two compact sets E,F of the real line are said to be strongly transverse if for each u and t, the Hausdorff dimension (dim) of the intersection of E and uF+t is bounded by dim(E)+dim(F)-1 or 0, whichever is larger. Furstenberg conjectured that two closed sets E,F of [0,1] are strongly transverse if E is invariant under multiplication by 2 (mod 1) and F is invariant under multiplication by 3 (mod 1). In this talk, we will present our recent solution to this conjecture.