The topology and geometry of contact structures in dimension three

The goal of this article is to survey recent developments in the theory of contact structures in dimension three.Comment: 13 pages. To appear in the ICM 2006 proceeding

Electroweak symmetry breaking and cold dark matter from hidden sector technicolor

We consider models with a vectorlike confining gauge theory in the hidden sector, and demonstrate that the origin of the electroweak symmetry breaking (EWSB) is due to the dimensional transmutation in the hidden sector gauge theory, and the lightest mesons in the hidden sector could be a good cold dark matter (CDM) candidate. There would be more than one neutral Higgs-like scalar bosons, and they could decay mainly into the CDM pair, if that decay channel is kinemtically allowed.Comment: To appear in the proceeding of the 4th International Conference on Flavor Physic