The World Tonight

US President Donald Trump says "we are very close to a deal" to end the war in Gaza, after officials reported progress after a third day of indirect talks between Israel and Hamas in Egypt. The Times of Israel earlier reported a deal to release Israeli hostages in exchange for Palestinian prisoners could be imminent.

Also on the programme: as the number of people who died while homeless reached the highest on record last year, we hear from one mother on the loss of her son.

And 40 years on from its debut, the cast of Les Miserables unite for an anniversary that makes it the longest-running West End musical.

Israel has marked the second anniversary of the 7 October attacks. We speak to two parents - one Israeli, one Palestinian - about the impact that day has had on their families

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We visit a school that scores high marks for its inclusive approach to special educational needs.

And the team of musicologists who have found previously unheard music by Henry Purcell in a local archive.

Sébastien Lecornu was appointed France's prime minister less than four weeks ago. We explore what the political turmoil means for the country’s relationship with Europe and the world.

Also in the programme: The Nobel Prize for Medicine is awarded to three researchers for groundbreaking discoveries on the human immune system. And novelist Dame Jilly Cooper has died at the age of 88 – we speak to her friend, writer Rachel Johnson.

The group agrees to release hostages but wants further talks on a number of points. We hear from President Trump’s former Middle East envoy Jason Greenblatt.

Also in the programme: After yesterday’s Manchester synagogue attack, joint deputy leader of the Green Party Mothin Ali discusses his response and the debate in the UK over the conflict in Gaza. Plus actor Dominic Monaghan talks about working with Dame Patricia Routledge, who’s died at the age of 96.

Manchester police have named the man they say attacked a synagogue in the city as 35-year-old Jihad Al-Shamie, a British citizen of Syrian descent. The car ramming and stabbing attack left two Jewish men dead. We hear some of the shock and fear in Europe's biggest Jewish neighbourhood and ask if counter-terrorism legislation is up to date.

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A former chief of staff for Conservative Prime Minister Theresa May says the pledge by new leader Kemi Badenoch to scrap the 2008 Climate Change Act if she gets into office is "bad policy and bad politics".

And 75 years since the first edition of Peanuts, with its lovable main character Charlie Brown, we speak to artist and fan Andy Holden.

A BBC reporter working for the Panorama programme has spent seven months undercover at a major police station in London to find out how much the Metropolitan police force has changed, since a highly critical report into its culture more than two years ago.

Rory Bibb got a job at Charing Cross police station and filmed some of what he witnessed during his time there. His footage reveals racism, officers bragging about the use of force and misogyny. The Metropolitan Police Commissioner called the footage "horrific". As a result of the investigation eleven people - most of them serving officers - are under investigation for potential gross misconduct.

Also on the programme: Chris Packham remembers fellow naturalist and world-renowned expert on chimpanzees Jane Goodall, who has died aged 91.

And as Sir Keir Starmer says he'll change the way international law is interpreted in order to make it easier to deport illegal immigrants, we speak to the former President of Belgium's Constitutional Court who has become the go-to legal expert for European countries who believe the European Convention on Human Rights is hindering deportation efforts.

In his closing speech at the Labour Party Conference, Keir Starmer attacked Reform and Nigel Farage for pushing what he called the ‘politics of grievance’. The Prime Minister also said that Reform’s plans to end Indefinite Leave to Remain were racist. We ask Foreign Secretary Yvette Cooper if this approach could alienate Reform supporters.

Also on the programme: the Taliban cuts off the internet, isolating millions of Afghan women; and as The Rocky Horror Picture Show celebrates its 50th anniversary we speak to the son of its creator on its enduring appeal.

President Trump says Netanyahu will have his backing to "do what he has to do" if Hamas does not agree to the plan.

Also on the programme: Home Secretary Shabana Mahmood says migrants will have to prove they are contributing to society to earn the right to remain in the UK. We hear from fellow cabinet minister Emma Reynolds.

And we look back at the career of Sir Terry Farrell, the leading British architect behind London's MI6 building, who's died at the age of 87.

The Israeli Prime Minister Benjamin Netanyahu told the United Nations General Assembly that the IDF offensive into Gaza City would continue. But shortly after his speech US President Trump said he was "close to a deal" on the Palestinian enclave. The deal is reported to include the potential for former Prime Minister Sir Tony Blair to head up a transition administration in the Gaza Strip. We speak to a US diplomat who worked with Sir Tony in the Middle East.

Also on the programme: former director of the FBI James Comey says he's paying the price for standing up to Donald Trump as he is criminally indicted for perjury. We hear from a former federal prosecutor.

And 200 years on from the first railway journey from Stockton to Darlington, we reflect on the music inspired by trains.

The prime minister is to announce a new national scheme of compulsory digital ID for all adults, to crack down on illegal working. We'll debate whether the proposals can stop small boat crossings.

Also on the programme:

Sensitive data about children, and their parents, has been stolen by hackers targetting a chain of nurseries. How alarmed should we be?

France's former president Nicolas Sarkozy becomes its first head of state to be handed a prison sentence in 80 years.

And it's 200 years since Louis Braille invented his tactile rreading system for people with sight loss. We hear about his remarkable work that helps blind musicians.