The 2015 Paris Agreement commits countries to limit the global average temperature rise to well below 2C above pre-industrial levels, and to aim for 1.5C.
Scientists have said crossing the 1.5C threshold risks unleashing far more severe climate change effects on people, wildlife and ecosystems.
Preventing it requires almost halving global CO2 emissions by 2030 from 2010 levels and cutting them to net-zero by 2050 - an ambitious task that scientists, financiers, negotiators and activists at COP26 are debating how to achieve and pay for.
But what is the difference between 1.5C and 2C of warming? We asked several scientists to explain:
Where are we now
Already, the world has heated to around 1.1C above pre-industrial levels. Each of the last four decades was hotter than any decade since 1850.
"We never had such a global warming in only a few decades", said climate scientist Daniela Jacob at the Climate Service Center Germany. "Half a degree means much more extreme weather, and it can be more often, more intense, or extended in duration."
Just this year, torrential rains flooded China and Western Europe, killing hundreds of people. Hundreds more died when temperatures in the Pacific Northwest hit record highs. Greenland saw massive melting events, wildfires ravaged the Mediterranean and Siberia, and record drought hit parts of Brazil.
"Climate change is already affecting every inhabited region across the globe," said climate scientist Rachel Warren at the University of East Anglia.
Heat, rain, drought
More warming to 1.5C and beyond will worsen such impacts.
"For every increment of global warming, changes in extremes become larger," said climate scientist Sonia Seneviratne at ETH Zurich.
For example, heatwaves would become both more frequent and more severe.
An extreme heat event that occurred once per decade in a climate without human influence, would happen 4.1 times a decade at 1.5C of warming, and 5.6 times at 2C, according to the UN climate science panel (IPCC).
Let warming spiral to 4C, and such an event could occur 9.4 times per decade.
A warmer atmosphere can also hold more moisture, resulting in more extreme rainfall that raises flood risks. It also increases evaporation, leading to more intense droughts.
Ice, seas, coral reefs
The difference between 1.5C and 2C is critical for Earth's oceans and frozen regions.
"At 1.5C, there's a good chance we can prevent most of the Greenland and west Antarctic ice sheet from collapsing," said climate scientist Michael Mann at Pennsylvania State University.
That would help limit sea level rise to a few feet by the end of the century - still a big change that would erode coastlines and inundate some small island states and coastal cities.
But blow past 2C and the ice sheets could collapse, Mann said, with sea levels rising up to 10 metres - though how quickly that could happen is uncertain.
Warming of 1.5C would destroy at least 70 percent of coral reefs, but at 2C more than 99 percent would be lost. That would destroy fish habitats and communities that rely on reefs for their food and livelihoods.
Food, forests, disease
Warming of 2C, versus 1.5C, would also increase the impact on food production.
"If you have crop failures in a couple of the breadbaskets of the world at the same time, then you could see extreme food price spikes and hunger and famine across wide swathes of the world," said climate scientist Simon Lewis at University College London.
A warmer world could see the mosquitoes that carry diseases such as malaria and dengue fever expand across a wider range. But 2-C would also see a bigger share of insects and animals lose most of their habitat range, compared with 1.5C, and increase the risk of forest fires - another risk to wildlife.
As the world heats up, the risk increases that the planet will reach "tipping points", where Earth's systems cross a threshold that triggers irreversible or cascading impacts. Exactly when those points would be reached is uncertain.
Droughts, reduced rainfall, and continued destruction of the Amazon through deforestation, for example, could see the rainforest system collapse, releasing CO2 into the atmosphere rather than storing it. Or warming Arctic permafrost could cause long-frozen biomass to decompose, releasing vast amount of carbon emissions.
"That's why it's so risky to keep emitting from fossil fuels ... because we're increasing the likelihood that we go over one of those tipping points," Lewis said.
So far, the climate pledges that countries have submitted to the United Nations' registry of pledges put the world on track for 2.7-C of warming. The International Energy Agency said Thursday that new promises announced at the COP26 summit - if implemented - could hold warming to below 1.8C, although some experts challenged that calculation. It remains to be seen whether those promises will translate into real-world action.
Warming of 2.7C would deliver "unliveable heat" for parts of the year across areas of the tropics and subtropics. Biodiversity would be enormously depleted, food security would drop, and extreme weather would exceed most urban infrastructure's capacity to cope, scientists said.
"If we can keep warming below 3C we likely remain within our adaptive capacity as a civilization, but at 2.7C warming we would experience great hardship," said Mann.