Orateur
Description
I will touch on several topics that have interested me over the years, including illustrations of Carlsson's 1907 theorem and Baker & Rippon's resolution of the gap remaining, which together solve Condorcet's problem about the convergence of the iterated exponential. I will mention Mandelbrot polynomials and matrices, fractal eigenvectors, and Bohemian matrices. I will give one small theorem (about Lebesgue functions for "blends" in numerical analysis) which has a pretty number-theoretic proof and a simple but satisfying illustration with a (not-so-surprising) appearance by Fibonacci numbers. I will (for sure) run out of time, but I will at least give several links to interesting illustrations, not all of which are mine. I think that you will agree that some of those are, in fact, truly beautiful.
This is joint work with a very large number of people.