Antony Blinken has devoted much of his time as America’s secretary of state to the wars in Ukraine and Gaza. But on Thursday he will travel to Haiti to deal with a security crisis on America’s doorstep. The country has long been in the grip of armed criminal gangs; its unpopular prime minister, Ariel Henry, resigned in March amid violent unrest. Yet the arrival since June of about 400 American-equipped Kenyan policemen has helped Haitian security forces re-establish control in parts of the capital, Port-au-Prince.

Mr Blinken will push Haiti’s transitional presidential council to pursue corruption allegations and prepare for elections. But whether they can be held amid chronic insecurity is doubtful. America has struggled to secure contributions of policemen and funds for the slow-moving Kenyan-led mission, whose mandate comes up for renewal at the end of the month. One idea is to turn it into another UN peacekeeping operation. But Russia and China probably wouldn’t support that, given the enmity elsewhere.

For nearly nine months one of federal prosecutors’ two criminal cases against Donald Trump—for interfering in the presidential election of 2020—has been held up. On Thursday activity will at last resume in Judge Tanya Chutkan’s courtroom in Washington, DC. Proceedings were paused while the Supreme Court considered whether Mr Trump should be prosecuted at all. In July it gave the most lawyerly answer imaginable: that depends. Specifically, that depends on whether Mr Trump’s conduct fell squarely in the “official” realm of his power as president (which is immune from prosecution), on its edges (probably immune) or outside it (fair game).

Judge Chutkan must decide which of these categories Mr Trump’s actions fall into, and which of the prosecutors’ allegations and what evidence can be considered. Expect this to take months, and for there to be appeals to higher courts. If Mr Trump wins the presidential election in November, he will probably shut the case down altogether.

Technology companies are under scrutiny: shares in Nvidia, the world’s largest chipmaker, plunged by almost 10% on Tuesday. Investors are worried that artificial intelligence will not deliver the vast profits they seek. Broadcom, a maker of chips and software that announces its third-quarter results on Thursday, wants to defy the doubters.

Broadcom has done well in the AI boom. Over the past year its market value has almost doubled to $711bn, making it the world’s eighth-largest technology firm. The company designs specialist AI chips for tech giants like Google, Meta and ByteDance.

Broadcom also sells software that helps businesses manage in-house data centres. Companies are increasingly wary about holding their sensitive data on “public clouds”, where anyone can buy capacity. VMware, a cloud-software firm, which Broadcom bought in 2023 for $69bn, could benefit as businesses invest in private IT infrastructure. Hock Tan, Broadcom’s long-time boss, will hope such possibilities convince the market that the firm’s growth prospects are strong.

The Democratic Republic of Congo is at the centre of an outbreak of mpox, a painful and sometimes lethal viral disease. Congo and its neighbours are battling a new, seemingly deadlier strain than the one that caused an outbreak in 2022. The first vaccines against the disease, which have been available in the rich world for years, are expected to arrive in the central African country on Thursday.

They can’t come soon enough . Some 20,000 people have been infected in Africa this year and more than 500 have died. The World Health Organisation has been criticised for being slow to approve the drugs; it has now side-stepped that process to secure emergency access. Congo is dependent on international agencies to buy and distribute vaccines, as well as donations from rich countries. Even if the delivery arrives on time, vaccinations will reportedly not start until October, to ensure time to communicate the benefits to local people.

Big-ticket concert tours are the music industry’s most reliable money-spinner. Just ask fans of Oasis, who recently clamoured to get tickets for the British band’s reunion tour. Algorithmic “dynamic pricing”, in which prices adjust to demand, led the cost of a standing ticket to rise from £135 ($177) to £355. Cue outrage among the British public—and from the prime minister, Sir Keir Starmer, who said his government would get a “grip” on price-gouging.

The music business has developed another concept to rake in the cash: the blockbuster “live” show that isn’t really live. Last year the Las Vegas Sphere, a hi-tech arena, opened with “U2: UV”, a 40-night (in-person) residency by U2, an Irish rock group. On Thursday the venue will start showing “V–U 2”, an “immersive concert film” about the same residency, across its vast ultra-high-resolution screen. Tickets start at $100. Fans who paid to see the concerts can now pay again to see them digitally recreated.