For months, Donald Trump has appeared to back Vladimir Putin. Now, frustrated at the lack of a ceasefire and fed up with Russia, the US president is offering to send weapons to Kyiv. Trust-busters are investigating a whiff of price-fixing in the perfume industry. And why bilingual people may have healthier brains.Listen to what matters most, from global politics and business to science and technology—Subscribe to Economist Podcasts+For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.