Starts 1 Feb 2008 14:30
Ends 1 Feb 2008 20:00
Central European Time
ICTP
Main Building Seminar Room
Strada Costiera, 11 I - 34151 Trieste (Italy)
Problems 5 and 12 of the recent Arnold list concern the continued fractions of irrational roots of quadratic equations. These continued fractions are periodic, and the periods may have some symmetry, like palindromicity. I show that these symmetries are related to the symmetries of the classes of quadratic forms associated to the quadratic equations. I give moreover a geometrical description of the quadratic fields theory. The mathematical seminar organised by V.I. Arnold is devoted to several subjects of mathematics. It will take place on FRIDAYS (not on Wednesdays as previously announced), at 14:30 hours, in the Seminar Room of the ICTP Main Building.
  • A. Bergamo