Algebra Seminar talk

Timo Jolivet
Rauzy fractals associated with cubic real number fields

We prove that to each cubic real number field, we can associate a Rauzy fractal that verifies the tiling condition. To do so, we combine geometric combinatorial methods with a result by Dubois and Paysant-Le Roux which states that every real number field admits a basis with a periodic Jacobi-Perron expansion.