NT seminar: Edna Jones (Tulane)

[Bianca Viray]

Hello everyone,

Our first NT seminar of the quarter is tomorrow (Tuesday) and our speaker is Edna Jones from Tulane University, whose talk title is "On the local-global conjecture for higher-dimensional Kleinian sphere packings" (abstract below). As usual, the talk is at 11am in PDL C-401 and we will go to lunch with the speaker afterwards.

 

Abstract: We will discuss the local-global conjecture for certain integral Kleinian sphere packings, such as Soddy sphere packings and orthoplicial Apollonian sphere packings. (These sphere packings are 3-dimensional analogues of Apollonian circle packings.) Sometimes each sphere in a Kleinian sphere packing has a bend (1/radius) that is an integer. When all the bends are integral, which integers appear as bends? In 2019, Kontorovich proved the local-global conjecture for Soddy sphere packings. Work towards proving a local-global conjecture for orthoplicial Apollonian sphere packings has been done by Dias and Nakamura. We will discuss work concerning local-global conjectures for Kleinian sphere packings.

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Bianca Viray (she/her)

Craig McKibben and Sarah Merner Professor of Mathematics

University of Washington

Seattle, WA 98195

https://sites.math.washington.edu/~bviray/