Futurama Theorem and Puzzle
Updated: 2011-03-31 02:32:27
Futurama Theorem and Puzzle: a theorem about swapping minds and then returning them back to their bodies under imposed severe conditions- Futurama Theorem and Puzzle: a theorem about swapping minds and then returning them back to their bodies under imposed severe conditions
An erratum to “Strongly dense free subgroups of semisimple Lie groups”
Updated: 2011-03-29 22:47:28Last year, Emmanuel Breuillard, Ben Green, Bob Guralnick, and I wrote a paper entitled “Strongly dense free subgroups of semisimple Lie groups“. The main theorem in that paper asserted that given any semisimple algebraic group over an uncountable algebraically closed field , there existed a free subgroup which was strongly dense in the sense that [...]Abstract Golden Backgrounds Vector - Deliver Fresh Content from Interesting Network
Updated: 2011-03-23 01:53:57Abstract Golden Backgrounds Vector. Abstract Golden Backgrounds Vector4 EPS files + JPEG Preview | 24,4 MBInequality of a Series of Square Roots
Updated: 2011-03-22 05:25:46Inequality of a Series of Square RootsPink Glass Globes Vector
Updated: 2011-03-21 01:18:27Pink Glass Globes VectorExceptional isogenies between the classical Lie groups
Updated: 2011-03-11 20:06:49For sake of concreteness we will work here over the complex numbers , although most of this discussion is valid for arbitrary algebraically closed fields (but some care needs to be taken in characteristic , as always, particularly when defining the orthogonal group). Then one has the following four infinite families of classical Lie groups [...]Lines in the Euclidean group SE(2)
Updated: 2011-03-06 03:49:36In a previous blog post, I discussed the recent result of Guth and Katz obtaining a near-optimal bound on the Erdos distance problem. One of the tools used in the proof (building upon the earlier work of Elekes and Sharir) was the observation that the incidence geometry of the Euclidean group of rigid motions of [...]