In her first leader's speech to a Conservative party conference, Kemi Badenoch committed a future Tory administration to lower government spending, tougher access to benefits and the abolition of stamp duty for most purchases in England and Northern Ireland. Also: Police investigating last week's Manchester synagogue attack say the killer rang 999 and pledged allegiance to the Islamic State group. And three scientists have shared this year's Nobel Prize in Chemistry for developing revolutionary new materials.