The relation between the temperature and heat storage of the oceans and the temperature of the atmosphere is not well understood, but the oceans contain about 2000x as much heat energy as the atmosphere. Typical "greenhouse gas theory" is strictly a radiative budget, and ignores the huge battery of energy in the oceans. (it ignores a lot of other things, also).
The unproven hypothesis is that slight increases in the trace gas CO2 have huge effects on the atmosphere's temperature due to positive feedback mechanisms operating on the basic logrythmic response of CO2 to radiation. The far extreme of that unproven hypothesis that you are asked to believe without any scientific proof, just arm waving and computer modeling studies, is that CO2 is responsible for all of the warming of the last 50 years (or last 100 years, depending on where you read).
This is "supported" by a variety of emotional and alarmist arguments including sea level rise, dramatic flooding, hurricanes (Katrina), melting ice caps (plural, really they mean the North Pole), polar bears, penquins, snake invasions of North America, cat population explosions, prophesies of drought....It's a regular cookbook of Biblical fears in one nice TV program, isn't it?
Once the simplistic and inaccurate "CO2 --> warming" premise is launched, then all of these fearful things are trotted out one after another as "consequences" of the "science".