We review recent applications of equivariant dimensional reduction techniques
to the construction of Yang-Mills-Higgs-Dirac theories with dynamical mass
generation and exactly massless chiral fermions.Comment: 10 pages; Based on invited talk given by the first author at the 2nd
School on "Quantum Gravity and Quantum Geometry" session of the 9th Hellenic
School on Elementary Particle Physics and Gravity, Corfu, Greece, September
13-20 2009. To be published in General Relativity and Gravitatio