Robin Cockett

Date: May 29, 2020

Time: 13:00-14:15

Location: Zoom (email benjamin dot macadam at ucalgary for details).

A first introduction to Clifford algebras

William Kingdon Clifford (1845-78) died of tuberculosis when he was still young: he was a professor of Mathematic and Mechanics at University College, London.  His work on  “geometrical algebra” foreshadowed the theory of general relativity.  Almost a century later David Hestenes used Clifford’s ideas to develop “space-time algebra”: these ideas are still being actively developed as a basis for physics.

The talk is going to start with a very basic mathematical first introduction to “geometrical algebra”.  Applications to physics are reached by considering Clifford’s geometrical algebras in the context of tangent categories and (hopefully) I will end on some remarks in this direction.