German Chancellor says "huge progress" on Ukraine ceasefire

British-born Rabbi Eli Schlanger and Rabbi Yaakov Levitan are to be buried on Wednesday, the Chabad of Bondi has confirmed. Australian officials are investigating claims that the two gunmen took part in military-style training in the Philippines.Also on the programme: The BBC understands that the UK is set to rejoin the EU's Erasmus student exchange scheme, five years after leaving it as part of the post-Brexit deal with the European Union. Water voles have been spotted for the first time in almost two decades by conservationists in Oxfordshire. And, we speak to the Welsh couple who have defied odds of more than 24 trillion to one, and won the National Lottery for a second time.

Germany's Chancellor says "huge progress" has been made in Berlin during negotiations to end the war in Ukraine. His optimism was echoed by US President Donald Trump who said, "we're closer now than we have been, ever." But questions remain over security guarantees for Kyiv and whether they'll be asked to surrender territory. We hear from a Foreign Office minister and a senior Ukrainian MP.Also on the programme: a day after the deadly attack on a Jewish celebration in Sydney, we discuss the security implications and hear from a survivor.And a BBC investigation finds nearly 90 flights linked to Jeffrey Epstein flew to and from UK airports, some with British women on board, who may have been trafficked.

The King said in a personal message that his cancer treatment will be reduced next year, thanks to early diagnosis, effective intervention and an adherence to doctors' orders.   Also on the programme: the Health Secretary, Wes Streeting, has said he is not 'comfortable' with a puberty blockers clinical trial that's set to go ahead in January, even though the clinical advice was to proceed with it. We hear from Gazans who having survived war and mass displacement, now face a winter storm and flooding. And, we reflect on the life and legacy of Scottish comedian Stanley Baxter, who has died at the age of 99.

A UK-based Hong Kong pro-democracy activist tells us fake, sexually-explicit images were sent to her neighbours.Also on the programme: As the Trump administration ramps up its campaign against Venezuela's president, it has also been helping the opposition leader leave the country. Encouraging news about efforts to slow climate change. And, a new documentary that looks at the legacy of the reality TV show To Catch A Predator.

Next week's strike by resident doctors in England may be averted after ministers offered the British Medical Association a fresh deal. Wes Streeting's offer includes a rapid expansion of specialist training posts as well as covering out-of-pocket expenses such as exam fees. The doctors' union has agreed to put the offer to members over the coming days, we hear from one resident doctor.Also on the programme: The United States has seized an oil tanker off the coast of Venezuela, in an escalation of the Trump administration's pressure campaign on Nicolas Maduro.And Israeli pop star and actress Noa Kirel condemns a decision by European broadcasters to pull out of next year's Eurovision Song Contest due to Israel's participation.

President Zelensky says he will seek to change the law to allow Ukraine elections to be held. Donald Trump has doubled down on his criticism of how European countries are being changed by immigration. And an artistic glass ceiling has been broken - as the Turner Prize goes to a sculptor with a learning disability.

Syrians are out on the streets across the country, celebrating a year on from the end of a fifty-year dictatorship. But with economic issues and sectarian violence persisting, how can Syria move onto a brighter future?Also in the programme: A new gene therapy proves promising for blood cancer patients; President Trump announces a $12bn support package for US farmers; and Paramount battles Netflix with a new bid to buy Warner Bros.

FIFA President Gianni Infantino presented Donald Trump with a newly created FIFA Peace Prize at the World Cup draw in Washington DC. The 2026 tournament will be held in the US, Canada and Mexico.Also on the programme: Netflix has agreed to buy Warner Bros' streaming and studio business, potentially paving the way for a radical reshaping of the entertainment industry; and the BBC finds that more than 250 LGBT people were subjected to electric shock aversion therapy by the NHS in the 1960s and 70s. We hear from a survivor.

Spain, Ireland, Slovenia and the Netherlands have all said they won’t send acts to the Eurovision Song Contest next May in protest at Israel’s participation. There have been calls for Israel to be excluded because of the war in Gaza, but members of the European Broadcasting Union, which organises the contest, rejected a push for a vote on the issue. Also on the programme: an Inquiry finds the Russian President Vladimir Putin "morally responsible" for the death by poisoning of Dawn Sturgess in Salisbury; and we remember Steve Cropper, the legendary guitarist who's died at the age of 84.

The President of the European Commission, Ursula Von Der Leyen, has set out revised plans to use frozen Russian assets to loan money to Ukraine. Meanwhile, a German arms manufacturer invests in a drone manufacturing plant in Swindon to boost Europe’s defence. Also on the programme, Somali Americans in Minnesota react to president Trump’s attack on their community; and the chance discovery of one of the world’s largest species of octopus in Aberdeenshire.