Taliban and government members have agreed a roadmap for peace. Parallel US/Taliban talks are also going well. Also in this edition: Turkey's president sacks his central bank boss; Trump forces the UK's Washington ambassador to resign; top financier Jeffrey Epstein is arrested on child sex charges; India crash out of the world cricket cup; and why the internet is replacing religion.
(Picture: The Taliban spokesman in Qatar attending the intra-Afghan dialogue there.
Hong Kong protesters storm parliament
Protests against Beijing's influence spilled over into violence. Demonstrators fear democratic freedoms will shrink. Also in this edition: Donald Trump's non-standard diplomacy; the royal split that's transfixed the Arab world; the politics that led to Europe getting two women bosses; and how Taylor Swift is splitting the music world, again.
(Picture: the former colonial flag in Hong Hong's vandalised Legislative Council building.
The river deaths that shocked America
A father and his toddler daughter drowned trying to cross the Rio Grande. Congress was jolted into action as the US examined its conscience. Also in this edition: President Erdogan of Turkey loses a key election; Germany mulls how to counter the far right; the impact of US sanctions on Iran; and why some politicians are returning bribes.
(Picture: A man walks above the Rio Grande near where Oscar Alberto Martinez Ramirez and his daughter Valeria died.
MH17 prosecution ties Russia down
This week's charges thrust Crimea back into the spotlight - and keep sanctions going. Ordinary Russians are feeling the pinch. Also in this edition: contenders to be UK Conservative leader and prime minister are down to the last two; former Egyptian president Morsi dies a prisoner; what happened when a Japanese medical school stopped discriminating against women; and why Donald Trump is struggling to manage the nuclear ambitions of Iran and North Korea.
(Picture: The Netherlands chief prosecutor Fred Westerbeke speaks in front of pictures of the four suspects charged in connection with bringing down Flight MH17 over Ukraine in 2014.