Davos: US support for Ukraine ‘never doubted’, says Nato chief, amid scepticism over Trump’s Greenland ‘deal’ – live updates

Good morning from Davos, amid relief and scepticism that Donald Trump has reached a rather vague agreement with Nato over Greenland.Hours after telling the World Economic Forum that he wouldn’t use force to seize the island from Denmark, Trump surprised us by declaring that “the framework of a future deal” on Greenland had been reached, after talks with Nato chief Mark Rutte.With Trump lifting the threat to impose new tariffs on eight European countries, the crisis that was threatening to rupture the Nato military alliance may have eased.But….leaving the forum last night, Rutte told the AFP newswire:“I think it was a very good meeting tonight

The year of the ‘hectocorn’: the $100bn tech companies that could float in 2026

You’ve probably heard of “unicorns” – technology startups valued at more than $1bn – but 2026 is shaping up to be the year of the “hectocorn”, with several US and European companies potentially floating on stock markets at valuations over $100bn (£75bn).OpenAI, Anthropic, SpaceX and Stripe are among the big names said to be considering an initial public offering (IPO) this year.The success of their flotations – whether the shares maintain their value, rise or fall – could shape concerns about the AI race and whether the resulting market mania is a bubble.Some may have had plans to float last year that were delayed or derailed by the US federal shutdown and sweeping government job cuts hitting the market watchdog. This year is shaping up to be similarly geopolitically choppy, with Trump’s latest tariff threats against European allies over Greenland casting a shadow over shares this week

My analogue month: would ditching my smartphone make me healthier, happier – or more stressed?

When I swapped my iPhone for a Nokia, Walkman, film camera and physical map, I wasn’t sure what to expect. But my life soon started to changeWhen two balaclava-clad men on a motorbike mounted the pavement to rob me, recently, I remained oblivious. My eyes were pinned to a text message on my phone, and my hands were so clawed around it that they didn’t even bother to grab it. It wasn’t until an elderly woman shrieked and I felt the whoosh of air as the bike launched back on to the road that I looked up at all. They might have been unsuccessful but it did make me think: what else am I missing from the real world around me?Before I’ve poured my first morning coffee I’ve already watched the lives of strangers unfold on Instagram, checked the headlines, responded to texts, swiped through some matches on a dating app, and refreshed my emails, twice

Big tech continues to bend the knee to Trump a year after his inauguration

Hello, and welcome to TechScape. I’m your host, Blake Montgomery, the Guardian’s US tech editor.One year ago today, Donald Trump was inaugurated as president of the United States. Standing alongside him that day were the leaders of the tech industry’s most powerful companies, who had donated to him in an unprecedented bending of the knee. In the ensuing year, the companies have reaped enormous rewards from their alliance with Trump, which my colleague Nick Robins-Early and I wrote about last month after Trump signed an executive order prohibiting states from passing laws regulating AI

Australian Open 2026: Sinner, Osaka and Wawrinka in round two action – live

Wawrinka nudges 4-3 ahead on serve in the fourth set, a set he must win if his Australian Open career is to continue, because this is the 40-year-old’s final trip to Melbourne and he’s trailing the French qualifier Arthur Gea by two sets to one.I should also mention Maddison Inglis’s three-set victory. The home qualifier – Australia’s last woman standing in the singles – defeated the experienced German Laura Siegemund and awaits the winner of Osaka v Sorana Cirstea. They’re due on Margaret Court Arena in about five minutes’ time, while Sinner and Duckworth will soon make their entrance on Rod Laver.Inspired qualifier Maddison Inglis has ridden an emotional rollercoaster in her first grand slam appearance in four years to book a spot in the Australian Open third round

McLaren to continue fairness approach in F1 despite nervy end to last season

The McLaren team is to continue its policy of pursuing a rigorous fairness towards Lando Norris and Oscar Piastri for the 2026 Formula One season. That is despite their doing so last season allowed a late challenge from Red Bull’s Max Verstappen which might have prevented the team securing the drivers’ title, which was ultimately won by Norris.Last year McLaren enjoyed the most competitive car for most of the season and from the off, the team insisted their drivers would be free to race one another and the team would apply what they referred to as their “papaya rules” to ensure they were scrupulously fair to both in racing situations.It was an admirable approach but one that attracted criticism, not least as the team found themselves with increasingly complex precedents set when they did, at times, intervene. At the same time, with the drivers taking points off one another across the year, it let Verstappen back into the title fight, which he lost by just two points at the season finale in Abu Dhabi