Geometry and Topology Seminar




Wednesday, October 9, 2002, 1:10 pm, SS 5017A





Vladlen Timorin
University of Toronto

Circles and Clifford Algebras

We study maps from an open subset of some real projecive space to some sphere such that any germ of straight line goes to a germ of circle (or a point). We give a construction of such maps based on representations of Clifford algebras. It provides a complete purely geometric description of Clifford algebras representations in terms of circles.