The World Tonight

Chancellor Rachel Reeves signalled openness to lower tariffs Britain imposes on US car imports in order to reach a trade deal with President Trump. A document circulated among US business groups and unions seeking views on a potential deal with the UK, focused on lowering UK tariffs on US cars to 2.5% from their current 10%. The former Chief Executive of Aston Martin tells us the Chancellor should accept the proposal.

Meanwhile President Trump has rounded on his Ukrainian counterpart Volodymyr Zelensky again, denouncing what he called "inflammatory statements" after Zelensky said he'd never recognise Crimea as part of Russia.

And experts say bite marks found on the skeleton of a Roman gladiator are the first archaeological evidence of combat between a human and a lion.

In a stark forecast of the world's economy, the International Monetary Fund (IMF) says the Trump tariffs and market uncertainty will lead to slower growth and significant change. The IMF has also slashed the UK's growth prospects - we ask what that means for the government's "number one mission".

Also on the programme:

After last week's definitive ruling in the courts, the impassioned arguments over gender and sex have continued in the Commons. We ask our Political Editor Chris Mason where the debate over gender and trans rights goes next.

And - as the Catholic Church considers its future direction - we ask how it can appeal to the younger generation.

We're live in Vatican City as Roman Catholics mourn Pope Francis, the first Latin American leader of the church - who's died of a stroke and heart failure aged 88. We look at his legacy, and ask what might come next for the church.

Also in the programme:

The head of the Pentagon has come out fighting - following a report he shared sensitive military data on a group chat, which included his wife and brother.

And we report from the mountains of Pakistan on a plan to protect rare snow leopards - using AI.

Senator Chris Van Hollen has met Kilmar Ábrego García, the man in an El Salvador jail who has now become the new face of US politics. For the Trump administration, he is an example of their policy of deporting people they identify as “criminal illegal aliens”. For Democrats, there is debate about whether his case could sustain the anti-Trump cause. We'll hear from Democrat strategist Amanda Renteria.

Also on the programme:

US president Donald Trump has issued a fresh warning to Russia and Ukraine, saying they would be fools to delay the peace process.

Following this week's landmark ruling in the UK's Supreme Court, we look at how other countries treat trans people under the law.

And celebrating Easter in the holiest of cities: a Palestinian Christian on the obstacles to attending church in Jerusalem.

It's the Italian Job at the White House this evening - as Italy's Prime Minister Georgia Meloni sits down with Donald Trump, the President says he's 100% sure that the US will reach a trade deal with the European Union. We're live in Washington DC - and ask what Europe might have to give in exchange for any deal.

Also on the programme:

Four people have died in a cable car accident, in a popular tourist spot near Naples. We have the latest.

Jane's been taking a look at Monty Don's first-ever Chelsea Flower Show garden - designed with a little help from his beloved dog Ned.

And is there anybody out there? Space scientists say they have the strongest evidence yet of life on another planet. We speak to two writers of science fiction.

Judges at the UK Supreme Court have unanimously ruled that a woman is defined by biological sex under equalities law. We get reaction from a former Labour - now Independent - MP, a long-time critic of Sir Keir Starmer's stance on the issue. And we also speak to an organisation involved in the case, which opposes the ruling - and ask what it might mean in practice.

Also tonight:

A US judge has said the Trump administration could be in contempt of court for disregarding his order to halt the departure of deportation planes to El Salvador. We have the latest.

We speak to the parents who've won the right for the doctors involved in their daughter's end of life case to be named.

And are TikTokers driving a record rise in mountain rescue call-outs?

President Trump has escalated his fight with Harvard

The university rejected his demand to overhaul its practices

Outrage after an ancient oak tree in north London is chopped down

Is Cate Blanchett really retiring ?

and the 80th anniversary of the liberation of Bergen-Belsen

Also in the programme, Mark Zuckerberg takes the stand in a landmark trial that could see his social media giant Meta broken up. We hear from a senior figure in Marine Le Pen's National Rally about the impact of her embezzlement conviction on French politics. And as the British actress Aimee Lou Wood is mocked for the gap in her teeth, we look at the American obsession with the perfect smile.

The government is recalling Parliament tomorrow to pass emergency legislation aimed at saving British Steel's plant in Scunthorpe. The "special measures" bill would allow the government to "take control" of British Steel, opening the door to nationalisation at a later stage. We ask whether nationalisation is inevitable.

Diplomats from the US and Iran meet tomorrow to discuss a nuclear deal. We speak to the British diplomat who negotiated the last such deal on how high the stakes are this time around.

And as Westminster City Council bans busking from next week, we ask two buskers how they avoid being annoying.

President Trump has defended his tariffs policy - despite another day of turmoil for US markets. He's hit China with tariffs of at least 125% - we ask whether the US President may yet back down?

Also tonight:

A helicopter has crashed in the Hudson River in New York - at least six people are reported dead. We have the latest.

The Conservative leader Kemi Badenoch says her councillors are free to go into coalition with Reform UK after next month's local elections if they so choose. We hear how that's going down at the party's grassroots.

And Mark Mardell and Rory Cellan Jones on why they're teaming up with other ex-broadcasters - including Jeremy Paxman - for a "Big Sing" to raise awareness of Parkinson's.