As we know, humanity has drastically increased the rate at which we release carbon dioxide into the atmosphere since the Industrial Revolution, which has increasing effects on the ecology of Earth. Though life has an incredible ability to adapt to change in order to survive, our current crisis has to do with too much change too rapidly.
The downstream negative effects of increasing temperatures become incalculable and once it goes too far some life can no longer adapt. It’s important we reduce carbon dioxide emissions to curb this, but the Intergovernmental Panel on Climate Change (IPCC) says we must also find ways to create “negative emissions”  - meaning we have to take carbon dioxide that’s already in our atmosphere out of it and put it somewhere else.
Researchers from around the world are already working on this with a technology called Direct Air Capture (DAC) or, simply, “carbon capture”. This works much in the way a tree “captures” carbon from the air as it grows. These teams are demonstrating humans can create devices to do the same, only much more efficiently and on a greater scale.
Since carbon dioxide only makes up .04% of our atmosphere we have to find a way to separate it from the rest of the gases that surround us (mostly nitrogen and oxygen) . In practice this process of capturing is taking many forms - a wire mesh , a shag carpet , or a liquid .
The Center for Carbon Removal, a nonprofit connected to UC Berkeley, summarizes how their process works:
“DAC systems extract CO2 from the air using chemicals that bind to CO2 but not to other atmospheric chemicals (such as nitrogen and oxygen). As air passes over the chemicals used in DAC systems, CO2 "sticks" to these chemicals. When energy is added to the system, the purified CO2 "unsticks" from the chemicals, and the chemicals can then be redeployed to capture more CO2 from the air.” 
Once captured there are multiple options for repurposing the carbon in ways that would either lessen or reverse its negative effects on the environment. The first one likely to make it to market is as a liquid fuel alternative to our current petroleum-based gasoline. This would allow us to still use liquid fuel for energy without increasing the total CO2 in the atmosphere by unearthing and burning more fossil fuels. Essentially, we would be recycling our fuel. The reason it has the most momentum is because there’s money to be made. The societal benefit to this is that it would give society access to a needed fuel supply without increasing the carbon dioxide in the atmosphere.
Another potential use of the captured carbon is to sequester it, or store it in the earth, like is being done in a successful pilot program in Iceland . A group of scientists there are already four years into a program where they capture carbon from a power plant forged from a volcano, then pump it underground. The CO2 is pushed more than 3,000 feet below the surface where after a few months it turns into rock. The positives here are that this sequestered carbon would no longer have an effect on the ecology of the planet. This would be one way to create the “negative emissions” the IPCC says we need. It is estimated we could store 100-years worth of carbon dioxide in the ground . The difficulty here is there’s not any money in simply taking something out of the air and putting it in the ground, at least currently. If governments chose to incentivize this kind of practice the economics a market could emerge quickly.
The most fascinating potential use of captured CO2 from the atmosphere might be repurposing it as a building material. Researchers in both California  and Australia  are in the early stages of taking the carbon dioxide gas and transforming it into a part of a solid building material. This would reverse its harmful effects on the atmosphere, turn it into something useful, and lessen the effects of the fourth most carbon emitting industry (concrete). Even