On the spectrum of the Conway-Radin operator

Abstract: John Conway and Charles Radin introduced a hierarchical tiling of $\mathbf{R}^3$ they called a quaquaversal tiling. The orientations of these tiles exhibit rapid equidistribution not possible in two dimension. To study the distribution of these tiles Sadun and Draco analyzed the spectrum of the Hecke operator associated with this tiling. We shall discuss a few results and conjectures related to the spectrum of this operator.

number theory

Audience: researchers in the topic

Combinatorial and additive number theory (CANT 2021)

Series comments: This is the nineteenth in a series of annual workshops sponsored by the New York Number Theory Seminar on problems in combinatorial and additive number theory and related parts of mathematics.

Registration for the conference is free. Register at cant2021.eventbrite.com.

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The conference program, list of speakers, and abstracts are posted on the external website.