By Devik Jain and Amal S (Reuters) – UK shares climbed on Tuesday, aided by signs of progress in talks between Russia and Ukraine to end their weeks-long conflict, while Barclays hit a three-week low following a discounted stake sale. The blue-chip index ended 0.9% higher, with financials HSBC Holdings and Prudential and consumer stocks Diageo and Unilever providing the biggest boosts. Investor sentiment was lifted after Russia’s deputy defence minister said Moscow had decided to drastically cut military activity around Kyiv and Chernihiv in Ukraine, after talks between Russian and Ukrainian n…