Posts In Category featured
Mumford’s treasure map
on December 13, 2008 by lieven in featured, geometry, Comments (5)
In the series “Brave new geometries” we give an introduction to ’strange’ but exciting new ideas. We start with Grothendieck’s scheme-revolution, go on with Soule’s geometry over the field with one element, Mazur’s arithmetic topology, Grothendieck’s anabelian geometry, Connes’ noncommutative geometry etc.
the Bost-Connes coset space
on January 17, 2008 by lieven in featured, geometry, groups, Comments (0)
In the series “Noncommutative geometry and the Riemann zeta function” we give an introduction to the Bost-Connes algebra. We describe its relation to adeles/ideles and to KMS-states leading to the zeta-function as the partition function.
Conway’s puzzle M(13)
on June 16, 2007 by lieven in featured, games, groups, Comments (0)
In the series “Mathieu games” we describe some mathematical games and puzzles connected to simple groups. We will encounter Conway’s M(13)-puzzle, the classic Loyd’s 15-puzzle and mathematical blackjack based on Mathieu’s sporadic simple group M(12).







