Speaker: Jean-Marc
Schlenker, visiting Univ. of Ottawa
Title: Higher
Schl\"afli formulas
Time: 4:30 PM, Monday, April
28, 2008
Place: Malott 205
Abstract: The Schl\"afli
formula is a key identity in hyperbolic geometry which relates the
derivative of the volume of a polyhedron to the derivative of its
dihedral angles at codimension 2 faces under a deformation. We will
describe an extension to similar relations involving first-order
variations of the volumes and "angles" at higher codimension faces. A
second extension concerns similar relations which are vector-valued,
and from whichthe scalar-valued higher Schl\"afli-type formulas follow.
(Joint with Rabah Souam.)
April 5, 2008