Seminars IFIC

Super geometry and modern physics

por V. Varadarajan (Mthematics department, UCLA)

→ Europe/Madrid
Sala Seminarios (Dpto. de Física Teórica (UVEG))

Sala Seminarios

Dpto. de Física Teórica (UVEG)

Descripción
Super geometry is a generalization of differential (and algebraic) geometry where the local rings contain both commuting and anticommuting coordinates. It was discovered by the physicists in the early 1970's and it has played an important theoretical role in high energy physics since then. The anticommuting coordinates are nilpotent and so they cannot be measured. Consequently, the techniques of the Grothendieck theory of schemes have to be used in the study of super geometric objects. This talk sketches the main outlines of super geometry, its relation to spacetime at small distances, and its implications for particle classification and detection.