A university in Georgia just developed a better way to absorb Carbon. Instead of the method used by the previous method I described, this one simply absorbs the carbon onto the plates of stuff, and releases that same carbon later, under controlled conditions. (Where, say, you could trap it, or pump it underground.) This one requires much lower temperatures, 75C to absorb, 100C to release.
These temperatures are routinely achieved with your common kitchen stove, unlike the thousands of degrees required for the carbon-processing material.
What would the use of just storing the carbon be, if you're just going to get the carbon back later? Well, you don't have to release it in the same place that you captured it. You could release it in a sealed environment, and pump the carbon into, say, a carbonated soda, or into a baking soda creating machine, or some other form of storage. This can be done in conditions unavailable directly at the smokestack.