中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：Xin Zhang (University of Illinois Urbana-Champaign)
题 目：Local-global Phenomenon in Circle Packings
时 间：2016.06.02（星期四），15 :00-16 :00
地 点：数学院南楼902室
Abstract:
A circle packing is an arrangement of circles whose interiors are disjoint. It was discovered recently that many types of circle packings have integer curvatures (the reciprocal of radii). Fixing such a circle packing, we will show that the integers arising as curvatures satisfy a local-global phenomenon. That is, almost every integer lying in some congruence classes is a curvature. This is a joint work with Elena Fuchs and Kate Stange, which extends the work of Bourgain-Kontorovich on the Apollonian case.