BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//UNIFR/WEBMASTER//NONSGML v1.0//EN
CALSCALE:GREGORIAN
BEGIN:VEVENT
DTSTART;VALUE=DATE:20121120T171500
DTEND;VALUE=DATE:20121120T171500
UID:5661@agenda.unifr.ch
DESCRIPTION:In this talk, the computation of the covolume of the group of units of the \nquadratic form \n\n$$x_1^2+x_2^2+\cdots +x_n^2-d\hspace{.01in}x_{n+1}^2$$\n\nwith $d$ an odd, square-free, positive integer, will be described. \nThe covolume will be expressed in terms of Bernoulli numbers, Dirichlet $L$-functions, and powers of $\pi$. \n\nJohn Mcleod has recently determined the hyperbolic Coxeter fundamental domain of the reflection subgroup of the group \nof units for the case $d = 3$.\nWe apply our covolume formula to determine the volumes of Mcleod's hyperbolic Coxeter polytopes. \n<br> [invited by R. Kellerhals]
SUMMARY:John G. Ratcliffe (Nashville): On Volumes of Hyperbolic Coxeter Polytopes and Quadratic Forms
CATEGORIES:Colloque / Congrès / Forum
LOCATION:PER 08\, Phys 2.52\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/5661
END:VEVENT
END:VCALENDAR