Is Hadwiger's conjecture true?

Is the Hadamard conjecture true?

Is the Hodge conjecture true?

Is the Unique Games Conjecture true?

Is Levy's conjecture true?

Is Goodman's Conjecture true?

Is Brocard's conjecture true?

Is Schanuel's conjecture true?

Is Beal's conjecture true?

Is the Birch and Swinnerton-Dyer conjecture true?