10027/21486 Izzet Coskun Izzet Coskun Laura Costa Laura Costa Jack Huizenga Jack Huizenga Rosa Maria Miró-Roig Rosa Maria Miró-Roig Matthew Woolf Matthew Woolf Ulrich Schur Bundles on Flag Varieties University of Illinois at Chicago 2017 Flag varieties Schur bundles Ulrich bundles 2017-01-19 00:00:00 Journal contribution https://indigo.uic.edu/articles/journal_contribution/Ulrich_Schur_Bundles_on_Flag_Varieties/10771679 In this paper, we study equivariant vector bundles on partial flag varieties arising from Schur functors. We show that a partial flag variety with three or more steps does not admit an Ulrich bundle of this form with respect to the minimal ample class. We classify Ulrich bundles of this form on two-step flag varieties F(1, n − 1; n), F(2, n − 1; n), F(2, n − 2; n), F(k, k + 1; n) and F(k, k + 2; n). We give a conjectural description of the two-step flag varieties which admit such Ulrich bundles.