Ars MathematicaDedicated to the mathematical arts.Rigid Analytic Geometry- August 28, 2008 Wikipedia&8217;s article on rigid analytic geometry links to an interesting survey paper by Brian Conrad on the subject. Rigid analytic geometry is the attempt to translate the theory of complex analytic geometry to the p-adics. The theory is surprisingly complicated.http://www.arsmathematica.net/archives/2008/08/27/rigid-analytic-geometry/ Groups of groups- August 23, 2008 You know, mathematical terminology cannot be parodied. Mathematicians have invented groups, semigroups, quasigroups, pseudogroups, and two mostly-unrelated concepts both known as groupoids. They have invented both formal groups and quantum groups, neither of which are kinds of groups. And while the study of groups is a branch of algebra, most groups are ...http://www.arsmathematica.net/archives/2008/08/22/groups-of-groups/ Bombers Do What Euler Could Not- August 18, 2008 Continuing the architectural theme, Isabel at God Plays Dice has a post on the ultimate fate of the real world Knigsberg bridge problem. Knigsberg had seven bridges, and in 1736 Euler proved it was impossible to find a path that allowed you to cross each bridge exactly once. In World War II, several of the ...http://www.arsmathematica.net/archives/2008/08/17/bombers-do-what-euler-could-not/ Falkirk Wheel- August 14, 2008 Now that this is primarily an architecture blog, here&8217;s Falkirk Wheel, a science-fiction-looking rotating boat elevator in Scotland. Actual math content soon.http://www.arsmathematica.net/archives/2008/08/14/falkirk-wheel/ Perfect Groups Viewed Topologically- August 5, 2008 A. J. Berrick has an interesting paper explaining how a topologist thinks about group theory. Topology and group theory are connected throught the fundamental group. For every group, topologists can construct a space with that group as its fundamental group. Some of these can be very complicated, even for comparatively uncomplicated groups. ...http://www.arsmathematica.net/archives/2008/08/04/perfect-groups-viewed-topologically/ |