AbstractThe shrinking target problem concerns the sizes of the sets of the points in a metric space whose orbits under a transformation fall into a family of shrinking subsets infinitely often. We study such problems for matrices with real coefficients which are transformations on the d-dimensional torus. We obtain a zero-one law for the Lebesgue measure of the corresponding shrinking target se...
Upcoming talksSpeaker: Yan ZhouAffiliation: BICMRTime: April 26 (Tue) 9:30 PM - 10:30 PM (Beijing Time)Venue: https://harvard.zoom.us/j/97335783449?pwd=S3U0eVdyODFEdzNaRXVEUTF3R3NwZz09Title: Modularity of mirror families of log Calabi--Yau surfaces.Abstract: In 'Mirror symmetry for log Calabi--Yau surfaces I', given a smooth log Calabi--Yau surface pair (Y,D), Gross--Hacking--Keel constructed ...