1) The U.S. Supreme Court will begin deliberating gay marriage this week in one of the most important cases of the term. First up Tuesday, the court will hear arguments challenging California's voter-approved gay marriage ban, Proposition 8. If it's overturned, similar bans in other states could fall. On Wednesday, the constitutionality of the federal Defense of Marriage Act -- which denies gay partners federal benefits -- will be questioned. Both cases are expected to incur intense public and political scrutiny. Decisions in both cases should come in June.

2) Debate over Gov. Andrew M. Cuomo's budget proposal will continue Tuesday as legislators start plowing through a document several feet thick. Amendments on stop-and-frisk tactics and marijuana possession have been in play, according to The Associated Press. Lawmakers officially will take up debate Thursday, but the deals may be done sooner.

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3) The American Muslims for Palestine will kick off its national advertising campaign Tuesday by unveiling some of the ads it plans to run at Metro-North stations in the coming weeks. The group, which bills itself as a grassroots organization created to educate the public about Palestine and its history, will present some of the ads at a news conference scheduled for 11 a.m. Tuesday at Metro-North's Harlem station stop on 125th Street in Manhattan. Timed to coincide with President Barack Obama's Middle East visit, they will call for an end to "Israeli apartheid" and America's financial support for Israel, according to the group's chairman, Hatem Bazian.

4) The Knicks will try to extend their winning streak to five games when visit the Boston Celtics at 7 p.m. There's a chance Knicks center Tyson Chandler, the NBA's reigning Defensive Player of the Year, could return after missing the past six games with a bulging disk in his neck. The Knicks (42-26) enter Tuesday with a two-game lead over the Nets in the Eastern Conference's Atlantic Division.

5) Looking for new tunes? Fans of both indie rock and rap should be happy with today's new releases. The Strokes unveil their fifth album, "Comedown Machine" (RCA), which Newsday critic Glenn Gamboa sums up as "adventurous, but sometimes lost." And Lil Wayne returns with "I Am Not a Human Being II" (Young Money). Find reviews on more recently released albums from Justin Timberlake's "20/20 Experience" to David Bowie's "The Next Day" here .