## Why one should fry pancakes in $$SL_3(\mathbb{R})$$

Michael Björklund (Chalmers University)

Abstract

One of the main real-world applications of quasicrystals is Teflon; a material often used in frying pans. With every turn of a pancake, some of the Teflon is scraped off, and eventually enough Teflon has been lost to render the pan useless. In this talk, I want to discuss another way to produce Teflon-type materials, but this time in $$SL_3(\mathbb{R})$$ (which has Property (T)), and not in $$\mathbb{R}^2$$ (which does not have Property (T)). Successful productions of this material will allow you to fry (8-dimensional) pancakes forever. A more mathematical summary of the stuff that will be discussed during the talk can be found under the link: http://arxiv.org/abs/1602.08928 Joint work with Tobias Hartnick (Technion) and Felix Pogorzelski (Technion).