This conference is part of the MAST Lecture Series organised by the Mathematics Department of the University of Luxembourg with the support of the FNR. The objective is to share the most recent developments of mathematics and their applications in the Luxembourg scientific community.
Abstract
Tessellations of the plane have been used since antiquity as decorative patterns. With the development of modern mathematics, periodic tilings of Rn have been extensively studied in relation to crystallography; they include Euclidean tilings but also, more generally, tilings whose symmetry group consists of affine transformations. When the tiles are noncompact, the symmetry group may no longer be a group of translations up to finite index, and tilings with interesting nonsolvable symmetry groups have been constructed since the 1980s. We will discuss some of these developments, including recent joint work with J. Danciger and F. Guéritaud.
About the speaker
Fanny Kassel is a CNRS researcher working at the Institute of Advanced Scientific Studies (IHÉS). Her research often focusses on the interplay between geometric structures and representations of discrete groups. Her contributions to mathematics have been lauded with prizes and recognition, including being an invited ICM speaker in Rio in 2018, a CNRS bronze medal and an ERC starting grant.