Spectroscopic and photometric evidence indicates that Type la supernov
ae (SNe Ia) are the thermonuclear explosions of accreting white dwarfs
. However, the progenitor binary systems and hydrodynamical models for
SNe Ia are still controversial, The relatively uniform light curves a
nd spectral evolution of SNe Ia have led to their use as a standard ca
ndle for determining cosmological parameters, such as the Hubble const
ant, the density parameter, and the cosmological constant, Recent prog
ress includes the calibration of the absolute maximum brightness of SN
e Ia with the Hubble Space Telescope, the reduction of the dispersion
in the Hubble diagram through the use of the relation between the ligh
t curve shape and the maximum brightness of SNe Ia, and the discovery
of many SNe Ia with high red shifts.