Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
| Title: | Local-global Phenomenon in Circle Packings |
| Speaker: | Xin Zhang (University of Illinois Urbana-Champaign) |
| Time: | 2016-6-2, 15:00-16:00 |
| Place: | N902 |
| 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. |
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