Uma Thurman was spotted jotting down her contact details for amfAR co-founder Dr. Mathilde Krim after HBO premiered “The Battle of amfAR” at the Tribeca Film Festival. The organization is known for ongoing support from bigwigs including Elton John and Harvey Weinstein. As Krim took Thurman’s digits at the Colicchio & Sons after-party, the actress was overheard saying to “call her anytime.” After the bash, which included guests Kenneth Cole, Anna Chlumsky and Harry Belafonte, some spilled over to nearby Hudson Bar and Books, where swells are known to swill Scotch and smoke cigars — where an uncharacteristic brawl broke out between two patrons. “It started at the back of the bar and came forward,” said entertainment reporter Bill McCuddy, adding tables were upended, leaving “Macallan 18 all over the floor.” The fight then spilled outside where the brawlers started throwing tables, but a quick-thinking banker called the cops, who arrived to intervene. A spy sniffed, “They weren’t regulars!” A rep added: “There was no real damage . . . a chair broke. We never have incidents like that — it’s a very sophisticated place, so it was a little shocking.”