Summary
* Armed supporters of President Donald Trump stormed the Capitol building and forced a lockdown
* A woman was shot dead by police and three others died of "medical emergencies", say police
* Congress reconvened after the violence and has now certified Joe Biden's election win
* Some Republicans were trying to overturn the results in some states but lack sufficient support
* Trump called on his violent supporters to go home but repeated false claims the election was stolen
* He has now released a statement promising an orderly transition of power
* Earlier, Democrats won two Senate seats in Georgia that tipped control of the Senate their way