President Trump 's capping his week by playing host yet again at the White House ... this time his guest is New York City Mayor-Elect Zohran Mamdani ... and TMZ is streaming live.

Mamdani, a registered Democrat and self-identified democratic socialist, cruised to victory a couple weeks ago in the NYC mayoral race ... he'll be the first Muslim mayor of the Big Apple, Trump's home town. Play video content

In his victory speech, Mamdani vowed to stand up to Trump ... telling his supporters, "If any city can show a nation how to stop Donald Trump, it is the city that gave rise to him."

Trump's repeatedly labeled Mamdani a communist, including in his announcement of the White House meeting ... Mamdani is the one who reached out to Trump to ask for a meeting. Mamdani says he wants to

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