Speaker
Ludwik Dabrowski
Description
All the fundamental matter particles are fermions and correspond
to spinor fields.
They arise as projective representation of the rotations
and (pseudo) orthogonal groups, and their installation on curved
space-times requires introducing of particular geometric structures.
I will discuss some of their surprising and nontrivial aspects
including the seldom discussed subtle issue of general covariance.
Another aspect of spinor fields I will survey
is the spectral geometry as described by the Dirac operator
which constitutes a crucial ingredient of a {\em spectral triple};
the appropriate concept for a passage to "quantum" spaces.
