A Chevalley formula for the equivariant quantum K-theory of cominuscule varieties

International audienceWe prove a type-uniform Chevalley formula for multiplication with divisor classes in the equivariant quantum K-theory ring of any cominuscule flag variety G/P. We also prove that multiplication with divisor classes determines the equivariant quantum K-theory of arbitrary flag varieties. These results prove a conjecture of Gorbounov and Korff concerning the equivariant quantum K-theory of Grassmannians of Lie type A